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) |
| Subjects: | |
| Online Access: | https://www.fountainjournals.com/index.php/FUJNAS/article/view/445 |
| _version_ | 1797663212985909248 |
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| author | Lukman Shina Akinola |
| author_facet | Lukman Shina Akinola |
| author_sort | Lukman Shina Akinola |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-03-11T19:11:17Z |
| format | Article |
| id | doaj.art-92d774b951ea411dbac922ef9685b95a |
| institution | Directory Open Access Journal |
| issn | 2350-1863 2354-337X |
| language | English |
| last_indexed | 2024-03-11T19:11:17Z |
| publishDate | 2023-06-01 |
| publisher | Fountain University Osogbo |
| record_format | Article |
| series | Fountain Journal of Natural and Applied Sciences (FUJNAS) |
| spelling | doaj.art-92d774b951ea411dbac922ef9685b95a2023-10-09T17:08:07ZengFountain University OsogboFountain Journal of Natural and Applied Sciences (FUJNAS)2350-18632354-337X2023-06-0112110.53704/fujnas.v12i1.445On the action of a fuzzy group on a fuzzy setLukman Shina Akinola0Federal University Oye-Ekiti, Ekiti State, Nigeria 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 https://www.fountainjournals.com/index.php/FUJNAS/article/view/445fuzzy group, fuzzy set, product of fuzzy set, group action |
| spellingShingle | Lukman Shina Akinola On the action of a fuzzy group on a fuzzy set Fountain Journal of Natural and Applied Sciences (FUJNAS) fuzzy group, fuzzy set, product of fuzzy set, group action |
| title | On the action of a fuzzy group on a fuzzy set |
| title_full | On the action of a fuzzy group on a fuzzy set |
| title_fullStr | On the action of a fuzzy group on a fuzzy set |
| title_full_unstemmed | On the action of a fuzzy group on a fuzzy set |
| title_short | On the action of a fuzzy group on a fuzzy set |
| title_sort | on the action of a fuzzy group on a fuzzy set |
| topic | fuzzy group, fuzzy set, product of fuzzy set, group action |
| url | https://www.fountainjournals.com/index.php/FUJNAS/article/view/445 |
| work_keys_str_mv | AT lukmanshinaakinola ontheactionofafuzzygrouponafuzzyset |