| 双模糊概率集与3-值r-模糊集之间的关系 |
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| 引用本文： | 王朝阳,袁学海.双模糊概率集与3-值r-模糊集之间的关系[J].模糊系统与数学,2019(1):50-57. |
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| 作者姓名： | 王朝阳 袁学海 |
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| 作者单位： | 大连理工大学基础教学部 |
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| 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。
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| 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 |
Relation between Bifuzzy Probabilistic Sets and Three-valued r-fuzzy Sets |
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| WANG Zhao-yang,YUAN Xue-hai.Relation between Bifuzzy Probabilistic Sets and Three-valued r-fuzzy Sets[J].Fuzzy Systems and Mathematics,2019(1):50-57. |
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| Authors: | WANG Zhao-yang YUAN Xue-hai |
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| Institution: | (School of Mathematical and Physical Science,Dalian University of Technology,Panjin 124221,China) |
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| Abstract: | 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. |
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| Keywords: | Intuitionistic Fuzzy Set Bifuzzy Probabilistic Set Three-valued r-fuzzy set Three-valued r-fuzzy Nested Set |
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