Basic Fuzzy Event Space and Probability Distribution of Probability Fuzzy Space

Guixiang Wang, Yifeng Xu and Sen Qin
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Guixiang Wang: Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China
Yifeng Xu: Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China
Sen Qin: Institute of Operations Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China

Mathematics, 2019, vol. 7, issue 6, 1-15

Abstract: In this paper, the problems of basic fuzzy event space and of probability fuzzy space are studied. Firstly, the concepts of basic fuzzy event, fuzzy event and basic fuzzy event space are defined, related properties are investigated, and some results that will be used in the next study of probability fuzzy space are obtained. Then, the definitions of the probability function for fuzzy events and probability fuzzy space are given, some properties of the defined probability function are obtained. In addition, some models of probability distribution of probability fuzzy space based on a known probability space are proposed, and some examples are given to show the usability of the proposed models of probability distribution.

Keywords: basic fuzzy event; basic fuzzy event space; fuzzy event; probability function of fuzzy events; probability fuzzy space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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