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 prop...
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| Format: | Article |
| Language: | English |
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Fountain University Osogbo
2023-06-01
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| Series: | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
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| Online Access: | https://www.fountainjournals.com/index.php/FUJNAS/article/view/445 |
| 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
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| ISSN: | 2350-1863 2354-337X |