On the action of a fuzzy group on a fuzzy set
DOI:
https://doi.org/10.53704/fujnas.v12i1.445Keywords:
fuzzy group, fuzzy set, product of fuzzy set, group actionAbstract
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
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Copyright (c) 2023 Lukman Shina Akinola
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright of their work, with first publication rights granted to Fountain Journal of Natural and Applied Sciences. Articles in FUJNAS are published on the Creative Commons Attribution 4.0 International license (CC BY 4.0).
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