基于直觉模糊可能性测度的三支决策模型的研究

南京大学学报(自然科学版) ›› 2016, Vol. 52 ›› Issue (6): 1065–.

基于直觉模糊可能性测度的三支决策模型的研究

薛占熬1，2*，辛现伟1，2，袁艺林1，2，薛天宇1，2

出版日期:2016-11-21 发布日期:2016-11-21
作者简介: 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
基金资助:
基金项目：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)
收稿日期：2016－10－12
*通讯联系人，Email：xuezhanao@163.com

Research on the Threeway Decisions model based on intuitionistic fuzzy possibility measures

Xue Zhan’ao1，2*，Xin Xianwei1，2，Yuan Yilin1，2，Xue Tianyu1，2

Online:2016-11-21 Published:2016-11-21
About author: 1.College of Computer and Information Engineering，Henan Normal University，Xinxiang，453007，China；
2．Engineering Technology Research Center for Computing Intelligence & Data Mining of Henan Province，
Xinxiang，453007，China

摘要/Abstract

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．

Abstract: The Threeway 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，Threeway Decision models are established on the intuitionistic fuzzy possibility measure，and the dividing rules of the Threeway Decision models are defined.Secondly，Threeway 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 judgment of this model，a method of decisionmaking risk measurement is given based on the intuitionistic fuzzy possibility measure and intuitionistic fuzzy reliability.Finally，the specific calculation steps are given with examples：the membership degree and nonmembership degree of objects 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 decisionmaking.

薛占熬1，2*，辛现伟1，2，袁艺林1，2，薛天宇1，2. 基于直觉模糊可能性测度的三支决策模型的研究
[J]. 南京大学学报(自然科学版), 2016, 52(6): 1065–.

Xue Zhan’ao1，2*，Xin Xianwei1，2，Yuan Yilin1，2，Xue Tianyu1，2. Research on the Threeway Decisions model based on intuitionistic fuzzy possibility measures
[J]. Journal of Nanjing University(Natural Sciences), 2016, 52(6): 1065–.

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