Three-way conflict analysis: Relative alliance, neutrality, and conflict reducts in a three-valued decision situation table
摘要
In three-way conflict analysis, alliance, neutrality, and conflict reducts derived from three-valued situation tables play a crucial role in identifying and resolving potential conflicts. However, existing research has largely focused on standard three-valued situation tables, with insufficient attention paid to three-valued decision situation tables. To address this gap, we first introduce conflict measures regarding both conditional and decision issues, and establish alliance, neutrality, and conflict relations with respect to these two types of issues within a three-valued decision situation table. We then provide the concepts of relative alliance, neutrality, and conflict reducts tailored to three-valued decision situation tables. To facilitate the systematic construction of these reducts, we formulate three types of relative discernibility matrices and design an algorithm for computing the corresponding reducts based on these matrices. Finally, the practical applicability of the proposed approach is demonstrated through two case studies: the NBA labor negotiations and the development planning of Gansu Province. A comparative analysis highlights the effectiveness and advantages of the proposed method compared to existing approaches.