ScholarWorks@경상국립대학교

초록

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 ⋖-subset, Υ-subset, and anti subset are constructed, and the conditions under which they can be BE-ideals are explored. © 2022, Islamic Azad University. All rights reserved.

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