将联盟与冲突关系分离建模，更清晰分析三方矛盾。
Three-way conflict analysis based on alliance and conflict functions
- 用独立的联盟函数和冲突函数替代混合函数。
- 提出联盟集与策略概念，解决多议题冲突问题。
- 适用于需要精准分析人际或群体对立的场景。
三方冲突分析中，对主体、议题及主体对的划分至关重要。传统方法基于评分函数或辅助函数，但二者将对立属性混在单一函数中，导致群体聚合时语义模糊。例如，在多个议题上，一对‘联盟+1’与‘冲突-1’的关系，其平均值与‘中立0’相同，但实际态度差异巨大。为此，本文将辅助函数中的正负对立属性拆分为独立的联盟函数与冲突函数，实现对主体、议题及主体对的三重划分，并探讨其在解决关键冲突分析问题中的应用，重点研究联盟集与策略概念。最后通过真实案例验证模型有效性。
原文摘要 · Abstract (English)
Trisecting agents, issues, and agent pairs are essential topics of three-way conflict analysis. They have been commonly studied based on either a rating or an auxiliary function. A rating function defines the positive, negative, or neutral ratings of agents on issues. An auxiliary function defines the alliance, conflict, and neutrality relations between agents. These functions measure two opposite aspects in a single function, leading to challenges in interpreting their aggregations over a group of issues or agents. For example, when studying agent relations regarding a set of issues, a standard aggregation takes the average of an auxiliary function concerning single issues. Therefore, a pair of alliance +1 and conflict -1 relations will produce the same result as a pair of neutrality 0 relations, although the attitudes represented by the two pairs are very different. To clarify semantics, we separate the two opposite aspects in an auxiliary function into a pair of alliance and conflict functions. Accordingly, we trisect the agents, issues, and agent pairs and investigate their applications in solving a few crucial questions in conflict analysis. Particularly, we explore the concepts of alliance sets and strategies. A real-world application is given to illustrate the proposed models.
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