摘要
近年来,基于三支决策方法的冲突分析研究逐渐成为学者们关注的热点.已有的工作在判断冲突关系时,主要依赖距离函数以及辅助函数.针对距离函数在模糊环境下的一些不足,本文在基于三角模糊信息系统的冲突分析模型中引入相似度的概念,提出了基于加权相似度的三支冲突分析模型.首先,定义三角模糊数的加权相似度函数,并研究其相关性质;其次,利用加权相似度函数判断代理间关于事件态度的相似性,提出基于加权相似度的三支冲突分析模型,分别研究基于单个和多个事件的冲突分析问题;最后,根据决策理论粗糙集和贝叶斯最小风险决策理论确定阈值α和β,将代理划分为联盟集、中立集、冲突集.
In recent years,the research of conflict analysis based on three-way decision method has gradually become the focus of scholars.The existing work mainly depends on the distance function and auxiliary function when judging the conflicted relationship.Because of some shortcomings of the distance function in the fuzzy environment,this paper introduces the concept of similarity in the conflict analysis model based on triangular fuzzy information system and proposes a three-way conflict analysis model based on weighted similarity.Firstly,the weighted similarity function of triangular fuzzy numbers is defined,and its related properties are studied.Secondly,the weighted similarity function is used to judge the similarity between agents regarding the attitude of events,and the conflict analysis model based on weighted similarity is proposed,and the conflict analysis problems based on single and multiple events are studied,respectively.Finally,we illustrate how to compute thresholdsαandβusing the decision theory rough sets and the theory of Bayesian minimal risk decision,and the agents are divided into alliance set,neutral set,and conflict set based on single or multiple issues.
作者
闫慧琳
李小南
YAN Hui-lin;LI Xiao-nan(School of Mathematics and Statistics,Xidian University,Xi'an 710071,China)
出处
《模糊系统与数学》
北大核心
2025年第2期170-181,共12页
Fuzzy Systems and Mathematics
基金
国家自然科学基金项目(61772019)。
关键词
三支决策
粗糙集
冲突分析
三角模糊数
加权相似度
Three-way decision
Rough set
Conflict analysis
Triangular fuzzy numbers
Weighted similarity
