Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
162 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Interval-valued fuzzy soft $β$-covering approximation spaces (2404.07230v1)

Published 3 Apr 2024 in math.GM and cs.AI

Abstract: The concept of interval-valued fuzzy soft $\beta$-covering approximation spaces (IFS$\beta$CASs) is introduced to combine the theories of soft sets, rough sets and interval-valued fuzzy sets, and some fundamental propositions concerning interval-valued fuzzy soft $\beta$-neighborhoods and soft $\beta$-neighborhoods of IFS$\beta$CASs are explored. And then four kinds of interval-valued fuzzy soft $\beta$-coverings based fuzzy rough sets are researched. Finally, the relationships of four kinds of interval-valued fuzzy soft $\beta$-coverings based fuzzy rough sets are investigated.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (44)
  1. Impact of machine learning and artificial intelligence in business based on intuitionistic fuzzy soft waspas method. Mathematics, 11(6):1453, 2023.
  2. An n𝑛nitalic_n-soft set approach to rough sets. IEEE Transactions on Fuzzy Systems, 28(11):2996–3007, 2019.
  3. M. Atef and S. I. Nada. On three types of soft fuzzy coverings based rough sets. Mathematics and Computers in Simulation, 185:452–467, 2021.
  4. Z. K. Azadeh and K. Adem. Multi-attribute decision-making based on soft set theory: A systematic review. Soft Computing, 23:6899–6920, 2019.
  5. Interval-valued topology on soft sets. Axioms, 12(7):692, 2023.
  6. Auto loan fraud detection using dominance-based rough set approach versus machine learning methods. Expert Systems with Applications, 163:113740, 2021.
  7. Generation of linear orders for intervals by means of aggregation functions. Fuzzy Sets and Systems, 220:69–77, 2013.
  8. A. Çalık. A novel pythagorean fuzzy ahp and fuzzy topsis methodology for green supplier selection in the industry 4.0 era. Soft Computing, 25(3):2253–2265, 2021.
  9. A decision-theoretic rough set approach for dynamic data mining. IEEE Transactions on fuzzy Systems, 23(6):1958–1970, 2015.
  10. Intention to use robotic exoskeletons by older people: A fuzzy-set qualitative comparative analysis approach. Computers in Human Behavior, 141:107610, 2023.
  11. H. Cheng and L. Gao. Error exponent and strong converse for quantum soft covering. IEEE Transactions on Information Theory, 2023.
  12. Interval-valued fuzzy discernibility pair approach for attribute reduction in incomplete interval-valued information systems. Information Sciences, 642:119215, 2023.
  13. Overlap function-based fuzzy β𝛽\betaitalic_β-covering relations and fuzzy β𝛽\betaitalic_β-covering rough set models. International Journal of Approximate Reasoning, 169:109164, 2024.
  14. Soft set based association rule mining. Knowledge-Based Systems, 111:268–282, 2016.
  15. Application of level soft sets in decision making based on interval-valued fuzzy soft sets. Computers & Mathematics with Applications, 60(6):1756–1767, 2010.
  16. M. B. Gorzałczany. A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy sets and systems, 21(1):1–17, 1987.
  17. B. Gueneri and M. Deveci. Evaluation of supplier selection in the defense industry using q-rung orthopair fuzzy set based edas approach. Expert Systems with Application, 222:119846, 2023.
  18. Three-way decision based on confidence level change in rough set. International Journal of Approximate Reasoning, 143:57–77, 2022.
  19. Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets. Information Sciences, 240:95–114, 2013.
  20. Analyzing uncertainty in cardiotocogram data for the prediction of fetal risks based on machine learning techniques using rough set. Journal of Ambient Intelligence and Humanized Computing, pages 1–13, 2021.
  21. Risk assessment and management of excavation system based on fuzzy set theory and machine learning methods. Automation in Construction, 122:103490, 2021.
  22. A novel robust fuzzy mean-upm model for green closed-loop supply chain network design under distribution ambiguity. Applied Mathematical Modelling, 92:99–135, 2021.
  23. L. Ma. Two fuzzy covering rough set models and their generalizations over fuzzy lattices. Fuzzy Sets and Systems, 294:1–17, 2016.
  24. J. Močkoř and P. Hurtík. Approximations of fuzzy soft sets by fuzzy soft relations with image processing application. Soft Computing, 25(10):6915–6925, 2021.
  25. D. Molodtsov. Soft set theory-first results. Computers & Mathematics With Applications, 37:19–31, 1999.
  26. Topology of interval-valued fuzzy sets. Indian Journal of Pure and Applied Mathematics, 30:23–29, 1999.
  27. F. Patras. The Essence of Numbers-Lecture Notes in Mathematics book series. Springer Press, 2020.
  28. Z. Pawlak. Rough sets. International Journal of Applied Mathematics and Computer Science, 11:341–356, 1982.
  29. Inclusion and similarity measures for interval-valued fuzzy sets based on aggregation and uncertainty assessment. Information Sciences, 547:1182–1200, 2021.
  30. X. Peng and H. Garg. Algorithms for interval-valued fuzzy soft sets in emergency decision making based on wdba and codas with new information measure. Computers & Industrial Engineering, 119:439–452, 2018.
  31. Ordering finitely generated sets and finite interval-valued hesitant fuzzy sets. Information Sciences, 325:375–392, 2015.
  32. M. Tishya and A. Anitha. Precipitation prediction by integrating rough set on fuzzy approximation space with deep learning techniques. Applied Soft Computing, 139:110253, 2023.
  33. Double-local rough sets for efficient data mining. Information Sciences, 571:475–498, 2021.
  34. B. Yang and B. Hu. A fuzzy covering-based rough set model and its generalization over fuzzy lattice. Information Sciences, 367:463–486, 2016.
  35. B. Yang and B. Hu. On some types of fuzzy covering-based rough sets. Fuzzy sets and Systems, 312:36–65, 2017.
  36. The multi-fuzzy soft set and its application in decision making. Applied Mathematical Modelling, 37(7):4915–4923, 2013.
  37. A novel multi-attribute decision-making method based on fuzzy rough sets. Computers & Industrial Engineering, 155:107136, 2021.
  38. G. Yu. Relationships between fuzzy approximation spaces and their uncertainty measures. Information Sciences, 528:181–204, 2020.
  39. L. A. Zadeh. Fuzzy sets. Information and control, 8(3):338–353, 1965.
  40. On characterization of generalized interval-valued fuzzy rough sets on two universes of discourse. International Journal of Approximate Reasoning, 51(1):56–70, 2009.
  41. On multicriteria decision-making method based on a fuzzy rough set model with fuzzy α𝛼\alphaitalic_α-neighborhoods. IEEE Transactions on Fuzzy Systems, 29(9):2491–2505, 2020.
  42. L. Zhang and J. Zhan. Fuzzy soft β𝛽\betaitalic_β-covering based fuzzy rough sets and corresponding decision-making applications. International Journal of Machine Learning and Cybernetics, 10(6):1487–1502, 2019.
  43. X. Zhang and J. Wang. Fuzzy β𝛽\betaitalic_β-covering approximation spaces. International Journal of Approximate Reasoning, 126:27–47, 2020.
  44. Event-triggered control for switched systems with sensor faults via adaptive fuzzy observer. Mathematics and Computers in Simulation, 221:244–259, 2024.

Summary

We haven't generated a summary for this paper yet.

Ai Sparkles Streamline Icon: https://streamlinehq.com Summarize Now