Fuzzy Multi-Hypergroups

Sarka Hoskova-Mayerova, Madeline Al Tahan and Bijan Davvaz
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Sarka Hoskova-Mayerova: Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 662 10 Brno-střed, Czech Republic
Madeline Al Tahan: Department of Mathematics, Lebanese International University, Beqaa Valley 1803, Lebanon
Bijan Davvaz: Department of Mathematics, Yazd University, Yazd 89139, Iran

Mathematics, 2020, vol. 8, issue 2, 1-14

Abstract: A fuzzy multiset is a generalization of a fuzzy set. This paper aims to combine the innovative notion of fuzzy multisets and hypergroups. In particular, we use fuzzy multisets to introduce the concept of fuzzy multi-hypergroups as a generalization of fuzzy hypergroups. Different operations on fuzzy multi-hypergroups are defined and discussed and some results known for fuzzy hypergroups are generalized to fuzzy multi-hypergroups.

Keywords: hypergroup; multiset; fuzzy multiset; fuzzy multi-hypergroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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