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Fuzzy Multi-Hypergroups

Published:2020-02-14 Issue:2 Volume:8 Page:244
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Hoskova-Mayerova Sarka^ORCID,Al Tahan Madeline^ORCID,Davvaz Bijan

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/8/2/244/pdf

Reference32 articles.

1. Prolegomena of Hypergroup Theory;Corsini,1993

2. Hyperstructures and Their Representations;Vougiouklis,1994

3. Applications of Hyperstructures Theory;Corsini,2003

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1. ON MULTI-HYPERRINGS;JORDAN J MATH STAT;2024

2. Linear Diophantine Fuzzy Subspaces of a Vector Space;Mathematics;2023-01-17

3. Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups;Mathematics;2022-06-22

4. On neutro-Hv-semigroups;Journal of Intelligent & Fuzzy Systems;2022-02-02

5. Some Fuzzy Multigroups Obtained from Fuzzy Subgroups;J MATH EXT;2022

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