基于博弈方法的三支冲突分析  

Three-way Conflict Analysis Based on Game Method

作　　者：于倩倩 李小南 杨彦坡 YU Qian-qian;LI Xiao-nan;YANG Yan-po(School of Mathematics and Statistics,Xidian University,Xi'an 710126,China)

机构地区：[1]西安电子科技大学数学与统计学院,陕西西安710126

出　　处：《模糊系统与数学》2024年第2期1-13,共13页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金(61772019)。

摘　　要：本文首先从事件的绝对重要度与相对重要度出发,定义了累积联盟度、累积中立度和累积冲突度以及联盟距离、中立距离和冲突距离并研究了它们之间的关系。随后构造了代理人采取三种策略时的收益函数,建立了基于博弈矩阵的三支冲突分析模型,从而将三支决策和博弈方法相结合,给出了冲突局势的解决方案。This paper first defines the cumulative alliance degree,cumulative neutrality degree,cumulative conflict degree,alliance distance,neutral distance and conflict distance from the absolute and relative importance degree of events,and studies the relationship among them.Then we construct the income functions when the agent adopts the three strategies,and establish the three-way conflict analysis model based on the game matrix,so as to combine the three-way decision and the game method,and give the solution to the conflict situation.

关 键 词：三支决策 三支冲突分析 模糊信息系统 粗糙集 

分 类 号：O159[理学—数学]