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Fuzzy Information Evolution with Three-Way Decision in Social Network Group Decision-Making

Published 22 May 2025 in cs.AI | (2505.16781v1)

Abstract: In group decision-making (GDM) scenarios, uncertainty, dynamic social structures, and vague information present major challenges for traditional opinion dynamics models. To address these issues, this study proposes a novel social network group decision-making (SNGDM) framework that integrates three-way decision (3WD) theory, dynamic network reconstruction, and linguistic opinion representation. First, the 3WD mechanism is introduced to explicitly model hesitation and ambiguity in agent judgments, thereby preventing irrational decisions. Second, a connection adjustment rule based on opinion similarity is developed, enabling agents to adaptively update their communication links and better reflect the evolving nature of social relationships. Third, linguistic terms are used to describe agent opinions, allowing the model to handle subjective, vague, or incomplete information more effectively. Finally, an integrated multi-agent decision-making framework is constructed, which simultaneously considers individual uncertainty, opinion evolution, and network dynamics. The proposed model is applied to a multi-UAV cooperative decision-making scenario, where simulation results and consensus analysis demonstrate its effectiveness. Experimental comparisons further verify the advantages of the algorithm in enhancing system stability and representing realistic decision-making behaviors.

Summary

Fuzzy Information Evolution with Three-Way Decision in Social Network Group Decision-Making

The paper presented by Jia et al. introduces an innovative framework for Social Network Group Decision-Making (SNGDM) that addresses critical challenges related to uncertainty and dynamics inherent in these scenarios. By integrating the Three-Way Decision (3WD) theory, the study enhances traditional opinion dynamics models, providing a structured approach to managing hesitation and ambiguity in agent judgments.

Core Contributions

  1. Integration of 3WD Mechanism: The paper implements 3WD theory into the decision-making framework, categorizing agent judgments into three domains — accept, reject, and defer — to explicitly model hesitation. This triad effectively handles vague information, preventing irrational decisions, which are common challenges in conventional binary decision models like DeGroot and HK.

  2. Dynamic Network Reconstruction: A connection adjustment rule based on opinion similarity allows agents to adaptively update their communication links, reflecting evolving social relationships. This flexibility addresses the dynamic nature of real-world networks, which static models often fail to simulate effectively.

  3. Linguistic Opinion Representation: By employing linguistic terms, the model can process subjective, vague, or incomplete information adeptly, providing a more practical decision-making process. This approach aligns closely with the natural, often qualitative nature of human opinions.

  4. Comprehensive Framework: The multi-agent decision-making framework integrates individual uncertainty, evolving opinions, and network dynamics concurrently, enhancing system stability and realistically modeling decision-making behaviors in complex environments.

Numerical Results

Through simulations involving multi-UAV cooperative decision-making scenarios, the study demonstrates the enhanced effectiveness and stability of the proposed model compared to traditional methods. Specifically, the model facilitates smoother opinion convergence and flexible network evolution, yielding more cohesive group decision-making processes. By adopting a probabilistic approach to decision deferral, the system maintains a balanced integration of divergent opinions, enhancing overall decision quality.

Theoretical and Practical Implications

The integration of 3WD theory presents a novel approach to handling indecision and uncertainty within group decision-making frameworks. The implications extend to various domains, from brain-computer interfaces, where ambiguity and hesitation significantly influence system responsiveness, to smart city governance, where public opinion plays a crucial role in policy formation.

Future Developments

Future research could explore expanding the framework to incorporate reinforcement learning and adaptive algorithms, allowing agents to evolve and refine their decision strategies over time based on prior interactions. Additionally, the exploration of trust dynamics and influence patterns within networks could yield further insights into optimizing social network structures for improved decision-making outcomes.

This paper offers substantial advancements in collective decision-making, simulating realistic human decision processes with high fidelity, thereby setting the stage for evolving intelligence models capable of seamless integration into complex, real-world applications.

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