计算机科学与探索2024,Vol.18Issue(5):1232-1242,11.DOI:10.3778/j.issn.1673-9418.2305081
不完备异构冲突信息系统中的极大一致联盟区间集族
Family of Maximal Consistent Alliance Interval Sets in Incomplete Heterogeneous Conflict Information System
摘要
Abstract
As effective tools for dealing with uncertainty,three-way decision models have been widely applied in the study of conflict analysis.However,existing three-way conflict analysis models are mostly based on single-type conflict information systems,which fail to address the challenges of practical situations where agents may have missing or multiple types of ratings.Furthermore,the existing definitions of alliance sets are typically based on a given agent.Particularly,agents in an alliance set are allied to the given agent,but they are not necessarily allied with each other.To address these issues,this paper proposes a three-way conflict analysis model in an incomplete heterogeneous conflict information system.Additionally,this paper presents the definition and algorithm of a family of maximal consistent alliance interval sets,where agents are allied with each other.Firstly,the incomplete heteroge-neous conflict information system with single-dimensional multi-type ratings is transformed into a two-dimensional fuzzy incomplete conflict information system with two-dimensional single-type ratings.This is achieved by defining the support and opposition degrees for different rating types of agents.Secondly,the agent-based alliance,conflict,and neutral interval sets using optimistic and pessimistic distance functions between agents are defined.Finally,a family of maximal consistent alliance interval sets is defined and obtained by adopting the algorithm of maximal clique enumeration.关键词
三支决策/冲突分析/不完备异构信息系统/极大团/极大一致联盟区间集族Key words
three-way decision/conflict analysis/incomplete heterogeneous information system/maximal clique/family of maximal consistent alliance interval sets分类
信息技术与安全科学引用本文复制引用
罗珺方,张硕,胡梦君..不完备异构冲突信息系统中的极大一致联盟区间集族[J].计算机科学与探索,2024,18(5):1232-1242,11.基金项目
国家自然科学基金(62206228,62076040,61976130,62276217) (62206228,62076040,61976130,62276217)
教育部人文社会科学研究基金(21YJC630092) (21YJC630092)
国家留学基金(202206985004). This work was supported by the National Natural Science Foundation of China(62206228,62076040,61976130,62276217),the Project of Humanities and Social Sciences of Ministry of Education of China(21YJC630092),and the Foundation of China Scholarship Council(202206985004). (202206985004)