Lukasiewicz Anti Fuzzy Set and Its Application in BE-algebras
The idea of Lukasiewicz $t$-conorm is used to construct the concept of Lukasiewicz anti fuzzy sets based on a given anti fuzzy set, and it is applied to BE-algebras. The notion of Lukasiewicz anti fuzzy BE-ideal is introduced, and its properties are investigated. The conditions under whi...
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| Format: | Article |
| Language: | English |
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Islamic Azad University, Bandar Abbas Branch
2022-11-01
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| Series: | Transactions on Fuzzy Sets and Systems |
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| Online Access: | https://tfss.journals.iau.ir/article_691646_e88dc1ac831707255e42d7705efa9b70.pdf |
| Summary: | The idea of Lukasiewicz $t$-conorm is used to construct the concept of Lukasiewicz anti fuzzy sets based on a given anti fuzzy set, and it is applied to BE-algebras. The notion of Lukasiewicz anti fuzzy BE-ideal is introduced, and its properties are investigated. The conditions under which Lukasiewicz anti fuzzy set will be Lukasiewicz anti fuzzy BE-ideal are explored, and the relationship between anti fuzzy BE-ideal and Lukasiewicz anti fuzzy BE-ideal are discussed. Three types of subsets so called $\lessdot$-subset, $\Upsilon$-subset, and anti subset are constructed, and the conditions under which they can be BE-ideals are explored. |
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| ISSN: | 2821-0131 |