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Fuzzy Multi-Hypergroups

Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 662 10 Brno-střed, Czech Republic
Department of Mathematics, Lebanese International University, Beqaa Valley 1803, Lebanon
Department of Mathematics, Yazd University, Yazd 89139, Iran
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 244;
Received: 27 January 2020 / Revised: 6 February 2020 / Accepted: 12 February 2020 / Published: 14 February 2020
(This article belongs to the Special Issue Hypercompositional Algebra and Applications)
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. View Full-Text
Keywords: hypergroup; multiset; fuzzy multiset; fuzzy multi-hypergroup hypergroup; multiset; fuzzy multiset; fuzzy multi-hypergroup
MDPI and ACS Style

Hoskova-Mayerova, S.; Al Tahan, M.; Davvaz, B. Fuzzy Multi-Hypergroups. Mathematics 2020, 8, 244.

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