基于不完备信息系统的三支冲突分析  

Three-way conflict analysis based on incomplete information systems

作　　者：杨文听 易黄建[2] 陈跃 李小南 YANG Wenting;YI Huangjian;CHEN Yue;LI Xiaonan(School of Mathematics and Statistics,Xidian University,Xi an 710126,Shaanxi,China;School of Information Science and Technology,Northwest University,Xi an 710127,Shaanxi,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 [2]西北大学信息科学与技术学院,陕西西安710127

出　　处：《陕西师范大学学报（自然科学版）》2022年第3期43-51,共9页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(61772019,61906154)。

摘　　要：将Pawlak的冲突分析模型推广到不完备的信息系统中,并结合三支决策思想研究了不完备信息系统上的三支冲突分析。首先,对缺失的值进行了处理,把不完备的信息系统转化为完备的信息系统。其次,通过冲突相似距离这一概念,讨论了代理之间的冲突关系,从而建立了不完备信息系统中的冲突分析模型。最后,根据决策理论粗糙集求解了模型中代理三划分所需阈值的大小,从而得到最为合理的三划分决策结果。The Pawlak s conflict analysis model is generalized to the incomplete information systems,three-way conflict analysis based on incomplete information systems is studied with the thought of three-way decision.Firstly,the missing value are processed and the incomplete information systems are transformed into the complete information systems.Secondly,the conflict relationship of agents is discussed,and the conflict analysis model in incomplete information systems is established by the concept of conflict similarity distance.Finally,the threshold of the tri-partition of the agents is computed by the decision-theoretic rough sets,so as to get the most reasonable tri-partition decision result.

关 键 词：不完备信息系统 三支决策 冲突分析 冲突相似距离 决策理论粗糙集 

分 类 号：O159[理学—数学] O225[理学—基础数学]