Title of article :
Lukasiewicz fuzzy positive implicative ideals in BCK-algebras
Author/Authors :
Song ، S.Z. Department of Mathematics - Jeju National University , Jun ، Y.B. Department of Mathematics Education - Gyeongsang National University
Abstract :
In BCK-algebras, the notion of Lukasiewicz fuzzy positive implicative ideal is introduced, and several properties are investigated. The relationship between Lukasiewicz fuzzy ideal and Lukasiewicz fuzzy positive implicative ideal is discussed, and characterizations of a Lukasiewicz fuzzy positive implicative ideal are considered. Conditions for a Lukasiewicz fuzzy ideal to be a Lukasiewicz fuzzy positive implicative ideal are provided, and conditions for the ∈-set, q-set and O-set to be positive implicative ideals are explored.
Keywords :
Lukasiewicz fuzzy set , Lukasiewicz fuzzy ideal , Lukasiewicz fuzzy positive implicative , q , set , O , set
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
