Title of article
Lukasiewicz Anti Fuzzy Set and Its Application in BE-algebras
Author/Authors
Jun ، Young Bae Department of Mathematics Education - Gyeongsang National University
From page
37
To page
45
Abstract
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.
Keywords
Anti fuzzy BE , ideal , Lukasiewicz anti fuzzy set , Lukasiewicz anti fuzzy BE , ideal , ⋖ , subset , Υ , subset , anti subset
Journal title
Transactions on Fuzzy Sets and Systems
Journal title
Transactions on Fuzzy Sets and Systems
Record number
2758571
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