Certain fuzzy hyperstructures from a fuzzy set

Fuzzy set theory and also the hypergroups in the sense of Marty are both generalizations of some existing mathematical concepts which are used for modeling many real life situations. The main purpose of this paper is the study of the link between fuzzy sets and fuzzy hypergroups and fuzzy semihyperg...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2020-01, Vol.39 (3), p.2775-2782
Main Authors: Onasanya, B.O., Atamewoue, T.S., Hoskova-Mayerova, S.
Format: Article
Language:English
Subjects:
Fuzzy set theory
Fuzzy sets
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Summary:Fuzzy set theory and also the hypergroups in the sense of Marty are both generalizations of some existing mathematical concepts which are used for modeling many real life situations. The main purpose of this paper is the study of the link between fuzzy sets and fuzzy hypergroups and fuzzy semihypergroups. As a matter of fact, some commutative fuzzy hypergroups and fuzzy semihypergroups have been constructed from fuzzy set and some of their properties were investigated.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-191054