Trust-Driven Three-Way Conflict Analysis Model Based on the Best-Worst Method
ZHU Junjie1,2, ZHANG Qinghua1,2,3, LUO Nanfang1,3
1. School of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065; 2. Chongqing Key Laboratory of Computational Intelligence, Chong-qing University of Posts and Telecommunications, Chongqing 400065; 3. Key Laboratory of Cyberspace Big Data Intelligent Security of Ministry of Education, Chongqing University of Posts and Te-lecommunications, Chongqing 400065
摘要 在传统的冲突分析中,通常假设代理是相互独立的,并且忽略社交网络中代理之间的潜在联系及地位差异.此外,社交网络中的信任关系往往是不完备的,而科学确定问题的权重是缓解冲突的关键因素之一.为了解决上述问题,文中提出基于最优最劣方法(Best-Worst Method, BWM)的信任驱动三支冲突分析模型(Trust-Driven Three-Way Conflict Analysis Model Based on the BWM, TBWM-3WCA).首先,针对社会网络中信任关系不完备的问题,利用路径惩罚系数与爱因斯坦积模拟信任传播,补全信任矩阵.然后,为了体现代理在群体中的影响力差异,研究主体间的潜在关系以推导影响力权重,这些权重随后用于聚合群体态度,客观识别冲突情境中最受支持议题与最不受支持议题,进而结合BWM确定议题权重.最后,引入基于系统冲突度的动态反馈机制,用于迭代调整代理态度,促进共识的形成和冲突的收敛.实例分析及对比实验表明TBWM-3WCA在处理冲突问题上的有效性.
Abstract：In traditional conflict analysis, agents are typically assumed to be independent, and the latent connections and status inequality among agents in social networks are neglected. Furthermore, trust relationships in social networks are often incomplete, and the scientific determination of the issue weights is also a key factor in mitigating conflict. To address these issues, a trust-driven three-way conflict analysis model based on the best-worst method(TBWM-3WCA) is proposed. First, to address the issue of incomplete trust relationships in social networks, the path penalty coefficient and the Einstein product are utilized to simulate trust propagation and complete the trust matrix. Second, to reflect the differences in agents influence within a group, latent relationships among agents are explored to derive influence weights. Then, the influence weights are employed to aggregate group attitudes and objectively identify the most and least supported issues in conflict scenarios. BWM is subsequently incorporated to determine the issue weights. Finally, a dynamic feedback mechanism based on the system conflict degree is incorporated to iteratively adjust the attitudes of agents, thereby promoting consensus formation and conflict convergence. Case studies and comparative experiments demonstrate the effectiveness of the proposed model in resolving conflicts.
[1] PAWLAK Z.An Inquiry into Anatomy of Conflicts. Information Sciences, 1998, 109(1/2/3/4): 65-78. [2] YAO Y Y.The Dao of Three-Way Decision and Three-World Thin- king. International Journal of Approximate Reasoning, 2023, 162. DOI: 10.1016/j.ijar.2023.109032. [3] YAO Y Y.Three-Way Conflict Analysis: Reformulations and Extensions of the Pawlak Model. Knowledge-Based Systems, 2019, 180: 26-37. [4] LANG G M, MIAO D Q, CAI M J. Three-Way Decision Approaches to Conflict Analysis Using Decision-Theoretic Rough Set Theory. Information Sciences, 2017, 406/407: 185-207. [5] 张慧敏,李小南.基于冲突分析的犹豫模糊多属性决策.模式识别与人工智能, 2020, 33(7): 610-618. (ZHANG H M, LI X N.Hesitant Fuzzy Multi-attribute Decision Making Based on Conflict Analysis. Pattern Recognition and Artificial Intelligence, 2020, 33(7): 610-618.) [6] LI X N, YANG Y P, YI H J, et al. Conflict Analysis Based on Three-Way Decision for Trapezoidal Fuzzy Information Systems. International Journal of Machine Learning and Cybernetics, 2022, 13(4): 929-945. [7] 陈跃,李小南.基于多重集值局势表的三支冲突分析.模糊系统与数学, 2022, 36(2): 107-120. (CHEN Y, LI X N.Three-Way Conflict Analysis Based on Multiple Set-Valued Situation Tables. Fuzzy Systems and Mathematics, 2022, 36(2): 107-120.) [8] YANG H, YAO Y Y, QIN K Y.A Lattice-Theoretic Model of Three-Way Conflict Analysis. Knowledge-Based Systems, 2024, 288. DOI: 10.1016/j.knosys.2024.111470. [9] HU M J.Three-Way Conflict Analysis with Preference-Based Conflict Situations. Information Sciences, 2025, 693. DOI: 10.1016/j.ins.2024.121676. [10] ZHANG X Y, CHEN J.Three-Way Quantitative Models and Three- Way Issue Reductions of Conflict Analysis. Information Sciences, 2025, 701. DOI: 10.1016/j.ins.2024.121846. [11] CHEN J, ZHANG X Y.Three-Way Reductions of Conflict Analysis Based on Relation Matrices and Integration Measures. Applied Intelligence, 2025, 55(5). DOI: 10.1007/s10489-024-06020-w. [12] QI Z H, ZHI H L, DING W P.Distributed Conflict Analysis Across Varying Analysis Levels Based on Fuzzy Formal Contexts. Information Sciences, 2025, 707. DOI: 10.1016/j.ins.2025.122038. [13] LIU B S, ZHOU Q, DING R X, et al. Large-Scale Group Decision Making Model Based on Social Network Analysis: Trust Relationship-Based Conflict Detection and Elimination. European Journal of Operational Research, 2019, 275(2): 737-754. [14] XU Y X, GONG Z W, FORREST J Y L, et al. Trust Propagation and Trust Network Evaluation in Social Networks Based on Uncertainty Theory. Knowledge-Based Systems, 2021, 234. DOI: 10.1016/j.knosys.2021.107610. [15] TIAN Z P, NIE R X, WANG J Q, et al. A Two-Fold Feedback Mechanism to Support Consensus-Reaching in Social Network Group Decision-Making. Knowledge-Based Systems, 2018, 162: 74-91. [16] TONG S R, SUN B Z, CHU X L, et al. Trust Recommendation Mechanism-Based Consensus Model for Pawlak Conflict Analysis Decision Making. International Journal of Approximate Reasoning, 2021, 135: 91-109. [17] QIN X Y, SUN B Z, YE J, et al. Conflict Detection and Elimination Integrating Agent's Influence and Conflict Coefficient with Incomplete Trust Relationship. Artificial Intelligence Review, 2023, 56: 3749-3787. [18] 王龙,武斌,杜金铭,等.复杂动态网络上的传播行为分析.中国科学(信息科学), 2020, 50(11): 1714-1731. (WANG L, WU B, DU J M, et al. Spreading Dynamics on Complex Dynamical Networks. Scientia Sinica(Informationis), 2020, 50(11): 1714-1731.) [19] YAGER R R, ABBASOV A M. Pythagorean Membership Grades, Complex Numbers, and Decision Making. International Journal of Intelligent Systems, 2013, 28(5): 436-452. [20] ATANASSOV K T.More on Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 1989, 33(1): 37-45. [21] WU J, XIONS R Y, CHICLANA F.Uninorm Trust Propagation and Aggregation Methods for Group Decision Making in Social Network with Four-Tuple Information. Knowledge-Based Systems, 2016, 96: 29-39. [22] MOHSEN B M.Multi-criteria Decision System for the Selection of a Freight Forwarder Using AHP. Procedia Computer Science, 2023, 220: 135-144. [23] REZAEI J.Best-Worst Multi-Criteria Decision-Making Method. Ome-ga, 2015, 53: 49-57. [24] WU J, CHICLANA F, FUJITA H, et al. A Visual Interaction Consensus Model for Social Network Group Decision Making with Trust Propagation. Knowledge-Based Systems, 2017, 122: 39-50. [25] ZHU J J, ZHANG Q H, LUO N F, et al. Three-Way Conflict Analysis Model via the Best-Worst Method: Balancing Subjective Preferences and Objective Data on Incomplete and Dispersed Systems. International Journal of Approximate Reasoning, 2025, 186. DOI: 10.1016/j.ijar.2025.109490. [26] LUO J, HAN B H, HUANG B, et al. Weighted Three-Way Conflict analysis in Multi-attribute Decision-Making Perspective. Infor-mation Sciences, 2024, 674. DOI: 10.1016/j.ins.2024.120721. [27] LUO N F, ZHANG Q H, HONG C X, et al. Three-Way Conflict Management Model with Complex Linguistic Expressions for Multi-attribute Group Decision-Making. Information Sciences, 2026, 730. DOI: 10.1016/j.ins.2025.122905. [28] JIANG Q, LIU Y, YI J H, et al. A Three-Way Conflict Analysis Model with Decision Makers' Varying Preferences. Applied Soft Computing, 2024, 151. DOI: 10.1016/j.asoc.2023.111171.
2026, Vol. 39 
