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On Generalized Direct Product of Fuzzy Multigroups

Department of Mathematics/statistics/computer Science, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria

* Corresponding Author
Annals of Communications in Mathematics 2020
, 3 (1),
35-45.
https://doi.org/10.62072/acm.2020.030104
Received: 23 November 2019 |
Accepted: 29 January 2020 |
Published: 31 March 2020

Abstract

Fuzzy multigroup is a structure that generalizes the idea of fuzzy group. In fact, the concept of fuzzy multigroups is the application of fuzzy multisets to group theory. The idea of direct product of fuzzy multigroups has been established. This paper extends the notion of direct product between two fuzzy multigroups to the case of finitely many fuzzy multigroups. Some properties of generalized direct product of fuzzy multigroups are elucidated. It is shown that generalized direct product of fuzzy multigroups is a fuzzy multigroup. Finally, a number of results are obtained and duly verified with respect to alph-cuts and level sets.

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Cite This Article

On Generalized Direct Product of Fuzzy Multigroups.

Annals of Communications in Mathematics,

2020,
3 (1):
35-45.
https://doi.org/10.62072/acm.2020.030104
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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