Title of article :
INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS
Author/Authors :
Borzooei ، R. A. Department of Mathematics - Faculty of Mathematical Sciences - Shahid Beheshti University University , Xin ، X. L. School of Mathematics - Northwest University , Jun ، Y. B. Department of Mathematics Education - Gyeongsang National University
Abstract :
The notion of commutative falling intuitionistic fuzzy ideal of a BCK-algebra is introduced and related properties are investigated. We verify that every commutative intuitionistic fuzzy ideal is a commutative falling intuitionistic fuzzy ideal, and provide example to show that a commutative falling intuitionistic fuzzy ideal is not a commutative intuitionistic fuzzy ideal. Relations between a falling intuitionistic fuzzy ideal and a commutative falling intuitionistic fuzzy ideal are considered, and a condition for a falling intuitionistic fuzzy ideal to be a commutative falling intuitionistic fuzzy ideal is provided.
Keywords :
(falling) intuitionistic fuzzy ideal , commutative intuitionistic fuzzy ideal , commutative falling intuitionistic fuzzy ideal
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems
