Lukasiewicz Anti Fuzzy Set and Its Application in BE-algebras

Transactions on Fuzzy Sets and Systems

مقاله 6، دوره 1، شماره 2، بهمن 2022، صفحه 37-45   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2022.1960391.1037

نویسنده

Young Bae Jun^*

Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

چکیده

‎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. 

کلیدواژه‌ها

‎Anti fuzzy BE-ideal‎؛ ‎ Lukasiewicz anti fuzzy set‎؛ Lukasiewicz anti fuzzy BE-ideal‎؛ ‎$lessdot$-subset‎؛ ‎$Upsilon$-subset‎؛ ‎anti subset‎

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