双模糊概率集与3-值r-模糊集之间的关系  

Relation between Bifuzzy Probabilistic Sets and Three-valued r-fuzzy Sets

作　　者：王朝阳 袁学海 WANG Zhao-yang;YUAN Xue-hai(School of Mathematical and Physical Science,Dalian University of Technology,Panjin 124221,China)

机构地区：[1]大连理工大学基础教学部,辽宁盘锦124221

出　　处：《模糊系统与数学》2019年第1期50-57,共8页Fuzzy Systems and Mathematics

摘　　要：本文建立了双模糊概率集和3-值r-模糊集之间的联系。首先,研究了3-值r-模糊集的定义和运算,说明了3-值r-模糊集与r-直觉模糊集是一一对应的。然后,给出了3-值r-模糊集合套的概念,证明了双模糊概率集是3-值r-模糊集合套的等价类。In this paper, the connection between bifuzzy probabilistic sets and three-valued r-fuzzy sets is established. Firstly, we introduce the notion and its operations of three-valued r-fuzzy sets, and show that there is a one - to - one relationship between three-valued r-fuzzy sets and r-intuitionistic fuzzy sets . Secondly, the concept of three-valued r-fuzzy nested sets is given, and it is proved that a bifuzzy probabilistic set is an equivalent class of a three-valued r-fuzzy set.

关 键 词：直觉模糊集 双模糊概率集 3-值r-模糊集 3-值r-模糊集合套 

分 类 号：O159[理学—数学]