INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS
نویسندگان
1 School of Mathematics, Northwest University, P.O. Box 710127, Xi’an, China.
2 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran.
3 Department of Mathematics Education, Gyeongsang National University, P.O. Box 52828, Jinju, Korea.
doi
10.22044/jas.2022.10104.1503چکیده
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.
