On the action of a fuzzy group on a fuzzy set

In this paper, we develop fundamental concepts required to extend the concept of group action on a set to fuzzy domain. We define product of a fuzzy set and a fuzzy group by using the idea of cartesian products of sets. We construct examples to demonstrate the defined concepts. We also discuss prope...

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Bibliographic Details
Published in:Fountain Journal of Natural and Applied Sciences (FUJNAS) 2023-06, Vol.12 (1)
Main Author: Lukman Shina Akinola
Format: Article
Language:English
Subjects:
fuzzy group, fuzzy set, product of fuzzy set, group action
Online Access:Get full text
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Summary:In this paper, we develop fundamental concepts required to extend the concept of group action on a set to fuzzy domain. We define product of a fuzzy set and a fuzzy group by using the idea of cartesian products of sets. We construct examples to demonstrate the defined concepts. We also discuss properties of the defined product of a fuzzy set and a fuzzy group as requisite to study of fuzzy group actions on fuzzy sets. Mathematics Subject Classification (2020). 08A99, 08C05, 22F05
ISSN:2350-1863
2354-337X