基于三支决策的多值形势信息表研究

Research on Many-Valued Situation Tables Based on Three-Way Decisions

摘要: 在现实生活中，多值形势信息表可以更好的刻画冲突问题，而已有的冲突分析模型主要关注于三 值形势信息表。在本文中，针对多值形势信息表，我们首先定义了支持度函数和反对度函数，并基 于支持度函数和反对度函数分别建立了二支冲突分析模型，即将Agent集分为支持集和非支持集 以及反对集和非反对集。然后，基于两个二支冲突分析模型得到三支冲突分析模型，其将Agent集 分为支持集、 中立集和反对集，并通过例子说明如何基于支持度函数和反对度函数计算支持集、 中立集和反对集。 最后，基于支持度函数和反对度函数建立五支冲突分析模型将Agent集分为支 持集、弱支持集、中立集、弱反对集和反对集，并通过例子说明如何计算支持集、弱支持集、中立 集、弱反对集和反对集。

Abstract: In the real life, many-valued situation information tables can describe the conflict problem better, but some conflict analysis models mainly focus on three-valued situa- tion information table. In this paper, for the many-valued situation information table, we first define the support function and the opposition function, and build two con- flict analysis models based on the support function and the opposition function. That is, the agent set is divided into support set and non-support set and opposition set and non-opposition set. Then, based on two two-way conflict analysis models, three conflict analysis models are obtained, which divide agent set into support set, neutral set and opposition set. An example is given to illustrate how to calculate support set, neutral set and opposition set based on support function and opposition function. Finally, a five-way model of conflict analysis is built based on support function and opposition function to divide agent set into support set, weak support set, neutral set, weak opposition set and opposition set, and an example is given to illustrate how to calculate support set, weak support set, neutral set, weak opposition set and opposition set.