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Fuzzy Multi-Hypergroups

1
Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 662 10 Brno-střed, Czech Republic
2
Department of Mathematics, Lebanese International University, Beqaa Valley 1803, Lebanon
3
Department of Mathematics, Yazd University, Yazd 89139, Iran
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 244; https://doi.org/10.3390/math8020244
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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