Young Bae Jun - Department of Mathematics Education, Gyeongsang National University, Jinju ۵۲۸۲۸, Korea

‎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.

‎Anti fuzzy BE-ideal‎, ‎ Lukasiewicz anti fuzzy set‎, Lukasiewicz anti fuzzy BE-ideal‎, ‎lessdot-subset‎, ‎Upsilon-subset‎, ‎anti subset‎