arXiv:2602.03403cs.AI2026-02

用模糊偏好提升冲突分析精度,精准识别各方矛盾根源

Feasible strategies for conflict resolution within intuitionistic fuzzy preference-based conflict situations

  • 引入直觉模糊偏好刻画意见分歧的细微差异
  • 构建三路冲突分析模型,实现对人、事、关系的精准划分
  • 提出兼顾调整代价与冲突程度的可行化解策略

在三路冲突分析中,基于偏好的冲突情境通过形式化建模个体对议题对的偏好来表征其态度。然而,现有模型仅依赖偏好、反偏好和无差异三种定性关系,难以充分捕捉冲突本质。为此,本文提出直觉模糊偏好冲突情境,以更细粒度刻画个体对议题对的态度。在此框架下,构建了直觉模糊偏好冲突测度,并建立了针对代理人对、代理集合及议题集合的三路冲突分析模型。同时,基于所提冲突函数设计相对损失函数,用于计算三路分析的阈值。最后,提出一种融合调整幅度与冲突程度的可行调整策略,给出构造算法,并通过实例验证模型的有效性与可行性。

原文摘要 · Abstract (English)

In three-way conflict analysis, preference-based conflict situations characterize agents' attitudes towards issues by formally modeling their preferences over pairs of issues. However, existing preference-based conflict models rely exclusively on three qualitative relations, namely, preference, converse, and indifference, to describe agents' attitudes towards issue pairs, which significantly limits their capacity in capturing the essence of conflict. To overcome this limitation, we introduce the concept of an intuitionistic fuzzy preference-based conflict situation that captures agents' attitudes towards issue pairs with finer granularity than that afforded by classical preference-based models. Afterwards, we develop intuitionistic fuzzy preference-based conflict measures within this framework, and construct three-way conflict analysis models for trisecting the set of agent pairs, the agent set, and the issue set. Additionally, relative loss functions built on the proposed conflict functions are employed to calculate thresholds for three-way conflict analysis. Finally, we present adjustment mechanism-based feasible strategies that simultaneously account for both adjustment magnitudes and conflict degrees, together with an algorithm for constructing such feasible strategies, and provide an illustrative example to demonstrate the validity and effectiveness of the proposed model.

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