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A Note on Fuzzy Probability of a Fuzzy Event
Author(s) -
Hesamian G.,
Shams M.
Publication year - 2017
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21871
Subject(s) - fuzzy logic , event (particle physics) , fuzzy number , mathematics , computer science , fuzzy measure theory , probability theory , fuzzy set operations , imprecise probability , artificial intelligence , fuzzy set , statistics , physics , quantum mechanics
This article modifies evaluating the probability of a fuzzy event based on a classical probability space introduced by Yager ( Inform. Sci . 1979;18:113–122). The presented theoretical results will be illustrated with some propositions and remarks. It is shown that a modification in the definition of fuzzy probability of fuzzy events into a concept of such probabilities has some desirable properties from mathematical points of view. Then, the proposed fuzzy probability will be compared to that of the similar proposed methods. The proposed fuzzy probability will be illustrated with some numerical examples.