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Limit of the Maximum Random Permutation Set Entropy
Published 10 Mar 2024 in cs.IT, cs.AI, and math.IT | (2403.06206v1)
Abstract: The Random Permutation Set (RPS) is a new type of set proposed recently, which can be regarded as the generalization of evidence theory. To measure the uncertainty of RPS, the entropy of RPS and its corresponding maximum entropy have been proposed. Exploring the maximum entropy provides a possible way of understanding the physical meaning of RPS. In this paper, a new concept, the envelope of entropy function, is defined. In addition, the limit of the envelope of RPS entropy is derived and proved. Compared with the existing method, the computational complexity of the proposed method to calculate the envelope of RPS entropy decreases greatly. The result shows that when $N \to \infty$, the limit form of the envelope of the entropy of RPS converges to $e \times (N!)2$, which is highly connected to the constant $e$ and factorial. Finally, numerical examples validate the efficiency and conciseness of the proposed envelope, which provides a new insight into the maximum entropy function.
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(2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, L., Deng, Y.: Entropy of random permutation set. Communications in Statistics - Theory and Methods, 1–19 (2023) https://doi.org/10.1080/03610926.2023.2173975 . Accessed 2023-05-11 Chen and Deng [2023b] Chen, X., Deng, Y.: A new belief entropy and its application in software risk analysis. International Journal of Computers Communications & Control 18(2), 5299 (2023) https://doi.org/10.15837/ijccc.2023.2.5299 Chen et al. [2023a] Chen, L., Deng, Y., Cheong, K.H.: The distance of random permutation set. Information Sciences 628, 226–239 (2023) https://doi.org/10.1016/j.ins.2023.01.105 . Accessed 2023-04-26 Chen et al. [2023b] Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, X., Deng, Y.: A new belief entropy and its application in software risk analysis. International Journal of Computers Communications & Control 18(2), 5299 (2023) https://doi.org/10.15837/ijccc.2023.2.5299 Chen et al. [2023a] Chen, L., Deng, Y., Cheong, K.H.: The distance of random permutation set. Information Sciences 628, 226–239 (2023) https://doi.org/10.1016/j.ins.2023.01.105 . Accessed 2023-04-26 Chen et al. [2023b] Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, L., Deng, Y., Cheong, K.H.: The distance of random permutation set. Information Sciences 628, 226–239 (2023) https://doi.org/10.1016/j.ins.2023.01.105 . Accessed 2023-04-26 Chen et al. [2023b] Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. 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(1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, L., Deng, Y., Cheong, K.H.: The distance of random permutation set. Information Sciences 628, 226–239 (2023) https://doi.org/10.1016/j.ins.2023.01.105 . Accessed 2023-04-26 Chen et al. [2023b] Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, L., Deng, Y., Cheong, K.H.: The distance of random permutation set. Information Sciences 628, 226–239 (2023) https://doi.org/10.1016/j.ins.2023.01.105 . Accessed 2023-04-26 Chen et al. [2023b] Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Chen, L., Deng, Y., Cheong, K.H.: Permutation jensen–shannon divergence for random permutation set. Engineering Applications of Artificial Intelligence 119, 105701 (2023) https://doi.org/10.1016/j.engappai.2022.105701 . Accessed 2023-04-26 Che et al. [2022] Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. 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Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Che, Y., Deng, Y., Yuan, Y.-H.: Maximum-entropy-based decision-making trial and evaluation laboratory and its application in emergency management. Journal of Organizational and End User Computing (JOEUC) 34(7), 1–16 (2022) Cui et al. [2022] Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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[2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Cui, H., Zhou, L., Li, Y., Kang, B.: Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 155, 111736 (2022) https://doi.org/10.1016/j.chaos.2021.111736 Deng and Deng [2022] Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, J., Deng, Y.: Maximum entropy of random permutation set. Soft Computing 26(21), 11265–11275 (2022). Accessed 2022-10-06 Dempster [2008] Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Classic Works of the Dempster-Shafer Theory of Belief Functions, pp. 57–72. Springer, ??? (2008) Deng [2016] Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Deng entropy. Chaos, Solitons & Fractals 91, 549–553 (2016) https://doi.org/10.1016/j.chaos.2016.07.014 Deng [2022] Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Deng, Y.: Random permutation set. INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL 17(1) (2022) https://doi.org/10.15837/ijccc.2022.1.4542 . Accessed 2023-03-15 De Gregorio et al. [2022] De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- De Gregorio, J., Sánchez, D., Toral, R.: An improved estimator of shannon entropy with applications to systems with memory. Chaos, Solitons & Fractals 165, 112797 (2022) https://doi.org/10.1016/j.chaos.2022.112797 Deng and Jiang [2020] Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Deng, X., Jiang, W.: On the negation of a dempster–shafer belief structure based on maximum uncertainty allocation. Information Sciences 516, 346–352 (2020) Gao and Xiao [2022] Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Gao, X., Xiao, F.: An improved belief $$\chi 2̂$$ divergence for Dempster–Shafer theory and its applications in pattern recognition. Computational and Applied Mathematics 41(6), 277 (2022) https://doi.org/10.1007/s40314-022-01975-3 He and Deng [2021] He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. 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Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 He, Y., Deng, Y.: MMGET: A Markov model for generalized evidence theory. Computational and Applied Mathematics 41(1), 9 (2021) https://doi.org/10.1007/s40314-021-01697-y Irshad et al. [2024] Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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[2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Irshad, M.R., Krishnakumar, A., Maya, R., Longobardi, M.: Estimation of Weighted Extropy with a Focus on Its Use in Reliability Modeling. Preprints (2024). https://doi.org/10.20944/preprints202401.0275.v1 Jaynes [1957] Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Information theory and statistical mechanics. Physical review 106(4), 620 (1957) Jaynes [1982] Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. 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IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: On the rationale of maximum-entropy methods. Proceedings of the IEEE 70(9), 939–952 (1982) Jaynes [2003] Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge university press, ??? (2003) Kang and Deng [2019] Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kang, B., Deng, Y.: The maximum deng entropy. IEEE Access 7, 120758–120765 (2019) https://doi.org/10.1109/ACCESS.2019.2937679 . Accessed 2022-09-18 Kazemi et al. [2021] Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Kazemi, M.R., Tahmasebi, S., Buono, F., Longobardi, M.: Fractional deng entropy and extropy and some applications. Entropy 23(5) (2021) https://doi.org/10.3390/e23050623 Lai and Cheong [2022a] Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lai, J.W., Cheong, K.H.: A comprehensive framework for preference aggregation Parrondo’s paradox. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10), 103107 (2022) https://doi.org/10.1063/5.0101321 Lei and Cheong [2022b] Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. 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Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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[2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Lei, M., Cheong, K.H.: Node influence ranking in complex networks: A local structure entropy approach. Chaos, Solitons & Fractals 160, 112136 (2022) https://doi.org/10.1016/j.chaos.2022.112136 Lei [2022] Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lei, M.: Information dimension based on deng entropy. Physica A: Statistical Mechanics and its Applications 600, 127584 (2022) Lyu and Liu [2024] Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. 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Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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[2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Lyu, S., Liu, Z.: A belief Sharma-Mittal divergence with its application in multi-sensor information fusion. Computational and Applied Mathematics 43(1), 34 (2024) https://doi.org/10.1007/s40314-023-02542-0 Li and Xiao [2023] Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Li, S., Xiao, F.: Normal distribution based on maximum deng entropy. Chaos, Solitons & Fractals 167, 113057 (2023) https://doi.org/10.1016/j.chaos.2022.113057 Moral-García and Abellán [2020] Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Moral-García, S., Abellán, J.: Critique of modified deng entropies under the evidence theory. Chaos, Solitons & Fractals 140, 110112 (2020) Qiang et al. [2022] Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? 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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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[2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Deng, Y., Cheong, K.H.: Information fractal dimension of mass function. Fractals 30, 2250110 (2022) Qiang et al. [2023] Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. 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IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Qiang, C., Li, Z., Deng, Y.: Multifractal analysis of mass function. Soft Computing 27(16), 11205–11218 (2023) https://doi.org/10.1007/s00500-023-08502-4 . Accessed 2023-07-11 Shannon [1948] Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shannon, C.E.: A mathematical theory of communication. The Bell system technical journal 27(3), 379–423 (1948) Shafer [1976] Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. 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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Shafer, G.: A Mathematical Theory of Evidence vol. 42. Princeton university press, ??? (1976) Stosic and Stosic [2024] Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, T., Stosic, B.: Generalized weighted permutation entropy analysis of satellite hot-pixel time series in brazilian biomes. Physica A: Statistical Mechanics and its Applications, 129548 (2024) Stosic et al. [2022] Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Stosic, D., Stosic, D., Stosic, T., Stosic, B.: Generalized weighted permutation entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 32(10) (2022) Tweddle [2003] Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Tweddle, I.: James Stirling’s Methodus Differentialis: an Annotated Translation of Stirling’s Text. Springer, ??? (2003) Xiao et al. [2022] Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. 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IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. 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Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. 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Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F., Cao, Z., Lin, C.-T.: A complex weighted discounting multisource information fusion with its application in pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223206871 (2022) Xiao [2020] Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F.: EFMCDM: Evidential fuzzy multicriteria decision making based on belief entropy. IEEE Transactions on Fuzzy Systems 28(7), 1477–1491 (2020) Xiao [2021a] Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F.: GIQ: A generalized intelligent quality-based approach for fusing multi-source information. IEEE Transactions on Fuzzy Systems 29(7), 2018–2031 (2021) Xiao [2021b] Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F.: On the maximum entropy negation of a complex-valued distribution. IEEE Transactions on Fuzzy Systems 29(11), 3259–3269 (2021) Xiao [2022a] Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F.: GEJS: A generalized evidential divergence measure for multisource information fusion. IEEE Transactions on Systems, Man, and Cybernetics - Systems, 10–110920223211498 (2022) Xiao [2022b] Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F.: Generalized quantum evidence theory. Applied Intelligence, 10–100710489022041810 (2022) Xiao [2023] Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F.: Quantum X-entropy in generalized quantum evidence theory. Information Sciences, 10–10162023119177 (2023) Xiao and Pedrycz [2023] Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F., Pedrycz, W.: Negation of the quantum mass function for multisource quantum information fusion with its application to pattern classification. IEEE Transactions on Pattern Analysis and Machine Intelligence 45(2), 2054–2070 (2023) Xiao et al. [2022] Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Xiao, F., Wen, J., Pedrycz, W.: Generalized divergence-based decision making method with an application to pattern classification. IEEE Transactions on Knowledge and Data Engineering, 10–110920223177896 (2022) Yu and Deng [2022] Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Yu, Z., Deng, Y.: Derive power law distribution with maximum deng entropy. Chaos, Solitons & Fractals 165, 112877 (2022) https://doi.org/10.1016/j.chaos.2022.112877 Zhou and Deng [2023] Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Zhou, Q., Deng, Y.: Generating sierpinski gasket from matrix calculus in dempster–shafer theory. Chaos, Solitons & Fractals 166, 112962 (2023) https://doi.org/10.1016/j.chaos.2022.112962 Zhang and Li [2022] Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Zhang, Q., Li, M.: A betweenness structural entropy of complex networks. CHAOS SOLITONS & FRACTALS 161 (2022) https://doi.org/10.1016/j.chaos.2022.112264 Zeng and Xiao [2023] Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542 Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
- Zeng, Z., Xiao, F.: A new complex belief entropy of X𝑋Xitalic_X2 divergence with its application in cardiac interbeat interval time series analysis. Chaos, Solitons & Fractals 172, 113542 (2023) https://doi.org/10.1016/j.chaos.2023.113542
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