摘要
冲突分析在商业、法律纠纷、劳资谈判以及军事行动等方面发挥着重要作用。将三支决策思想引入Pawlak的经典冲突分析模型而建立的三支冲突分析模型是研究该领域的重要工具。由于多重集提供的信息比经典集合更加全面完整,本文以三支冲突分析模型为基础,将三值局势表推广为[-1,+1]上的多重集值局势表,建立了基于多重集值局势表的三支冲突分析模型,并提出了三个联盟和三个层次冲突的概念。此外,还根据决策粗糙集理论,利用贝叶斯最小风险决策原理给出了求三个联盟和三个层次冲突所需阈值的方法。
Conflict analysis plays an important role in business, legal disputes, collective bargaining, and military operations. The model of three-way conflict analysis, constructed by introducing the idea of three-way decision into the classical model of conflict analysis by Pawlak, is an important tool in the field of conflict analysis. Since multisets can provide more complete and comprehensive information than classical sets, this paper, based on the model of three-way conflict analysis, generalizes three-valued situation tables to multiset-valued situation tables on [-1,+1], and proposes a model of three-way conflict analysis on multiset-valued situation tables. We also give the concepts of three alliances and three levels of conflicts. In addition, according to decision-theoretic rough sets and the decision principle of Bayesian least risk, this paper theoretically calculates the threshold values needed to partition three alliances and three levels of conflicts.
作者
陈跃
李小南
CHEN Yue;LI Xiao-nan(School of Mathematics and Statistics,Xidian University,Xi710071,China)
出处
《模糊系统与数学》
北大核心
2022年第2期107-120,共14页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(61772019)。
关键词
决策粗糙集
冲突分析
三支决策
多重集
Decision-theoretic Rough Sets
Conflict Analysis
Three-way Decision
Multisets
