基于直觉模糊可能性分布的三支决策模型的研究  

Study on Three-way Decisions Based on Intuitionistic Fuzzy Probability Distribution

作　　者：薛占熬[1,2] 辛现伟 袁艺林 吕敏杰[1,2] 

机构地区：[1]河南师范大学计算机与信息工程学院,河南新乡453007 [2]"智慧商务与物联网技术"河南省工程实验室,河南新乡453007

出　　处：《计算机科学》2018年第2期135-139,共5页Computer Science

基　　金：国家自然科学基金计划项目(61772176;61402153);河南省基础与前沿技术研究计划项目(132300410174);新乡市科技攻关计划项目(CXGG17002)资助

摘　　要：直觉模糊集理论和可能性理论的融合是不确定问题领域的一个研究热点。文中提出了一种基于直觉模糊可能性分布的直觉模糊可能性测度(Intuitionistic Fuzzy Probability Measurement,IFPM),并在此基础上构建了三支决策模型。首先,定义了直觉模糊决策空间及该空间上的直觉模糊可能性分布,并对其性质进行了证明,给出了论域对象的隶属度和非隶属度可能性均值的计算方法。然后,讨论了论域对象的隶属度和非隶属度可能性均值与决策阈值的关系,分析了它们之间的概率分布情况。根据概率分布-可能性分布的转换关系,给出决策规则和三支决策模型,提出了一种基于直觉模糊可能性分布的IFPM决策风险计算方法。最后,考虑论域中对象的增减变化引起的IFPM变化,给出对应公式并对动态决策过程进行分析,同时通过实例验证了该模型的有效性。The fusion of intuitionistic fuzzy sets theory and possibility theory is a hot spot for dealing with uncertain questions.This paper proposed a three-way decisions model based on the probability distribution of intuitionistic fuzzy probability measurement（IFPM）.First of all,the intuitionistic fuzzy decision space and the possibility distribution of the space were defined,and the properties of them were proved.Then,the calculation method of possibility means value for domain object membership degree and the non-membership degree was given.Thirdly,by analyzing the relationship possibility mean value of domain object membership degree and the non-membership degree between decision threshold,its probability distribution was discussed.Thus the three-way decisions model based on the probability distribution to the possibility distribution of transformation relations was expanded.An IFPM decision-making risk calculation method was given.Finally,this paper provided the formulas and analyzed the dynamic decision process of the three-way decisions through analyzing the changing of IFPM under different domain elements,and validated the effectiveness of the model through examples.

关 键 词：直觉模糊决策空间 直觉模糊可能性分布 IFPM 可能性均值 三支决策 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]