基于直觉模糊可能性测度的三支决策模型的研究  

Research on the Three-way Decisions model based on intuitionistic fuzzy possibility measures

作　　者：薛占熬[1,2] 辛现伟 袁艺林[1,2] 薛天宇[1,2] 

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

出　　处：《南京大学学报（自然科学版）》2016年第6期1065-1074,共10页Journal of Nanjing University（Natural Science）

基　　金：国家自然科学基金(61273018);河南省基础与前沿技术研究计划(132300410174);河南省教育厅计划(14A520082);新乡市重点科技攻关计划(ZG14020)

摘　　要：在直觉模糊集和可能性测度理论基础上,用可信度,对三支决策模型进行了研究.首先运用直觉模糊集和可能性理论,定义了直觉模糊可能性测度和直觉模糊可信度,讨论它们的性质.在直觉模糊可能性空间中,建立了基于直觉模糊可能性测度的三支决策模型,给出了该模型的划分规则.然后,定义了直觉模糊信息表的三支决策模型,给出了求信息表对象的综合直觉模糊属性特征值方法.最后,对该模型下的误判进行分析,给出了一种基于直觉模糊可能性测度和可信度的决策风险计算方法,并进行了实例演算.通过实例,给出具体计算步骤:综合分析了对象在不同属性特征下的隶属度和非隶属度,计算其直觉模糊可能性测度;运用可信度,计算出边界阈值和综合直觉模糊属性特征值;讨论了该模型的有效性.The Three-way Decisions model is researched by the intuitionistic fuzzy reliability under the intuitionistic fuzzy set and possibility theory.Firstly,the intuitionistic fuzzy possibility measure and intuitionistic fuzzy reliability are defined.Meanwhile,the relevant properties are discussed by utilizing intuitionistic fuzzy set theory and possibility theory.In the intuitionistic fuzzy possibility space,Three-way Decision models are established on the intuitionistic fuzzy possibility measure,and the dividing rules of the Three-way Decision models are defined.Secondly,Three-way Decision models of intuitionistic fuzzy information table are proposed,and a method of calculating integrated intuitionistic fuzzy attribute value is proposed.Thirdly,with analyzing the erroneous j udgment of this model,a method of decision-making risk measurement is given based on the intuitionistic fuzzy possibility measure and intu-itionistic fuzzy reliability.Finally,the specific calculation steps are given with examples：the membership degree and non-membership degree of obj ects in different attribute characteristics are analyzed comprehensively,and the intuitionistic fuzzy possibility measure is calculated.The boundary threshold value and the characteristic value of the synthetic intuitionistic fuzzy attribute are calculated by intuitionistic fuzzy credibility.The validity of the model is discussed after measuring the risk decision-making.

关 键 词：直觉模糊可能性测度 直觉模糊可信度 三支决策 边界阈值 综合直觉模糊属性值 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]