• 第六届全国智能信息处理学术会议 •

### 基于直觉模糊可能性分布的三支决策模型的研究

1. 河南师范大学计算机与信息工程学院 河南 新乡453007 “智慧商务与物联网技术”河南省工程实验室 河南 新乡453007,河南师范大学计算机与信息工程学院 河南 新乡453007 “智慧商务与物联网技术”河南省工程实验室 河南 新乡453007,河南师范大学计算机与信息工程学院 河南 新乡453007 “智慧商务与物联网技术”河南省工程实验室 河南 新乡453007,河南师范大学计算机与信息工程学院 河南 新乡453007 “智慧商务与物联网技术”河南省工程实验室 河南 新乡453007
• 出版日期:2018-02-15 发布日期:2018-11-13
• 基金资助:
本文受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

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

XUE Zhan-ao, XIN Xian-wei, YUAN Yi-lin and LV Min-jie

• Online:2018-02-15 Published:2018-11-13

Abstract: 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.

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