%0 Journal Article
%T INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Borzooei, R. A.
%A Xin, X. L.
%A Jun, Y. B.
%D 2023
%\ 01/01/2023
%V 10
%N 2
%P 285-297
%! INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS
%K (falling) intuitionistic fuzzy ideal
%K commutative intuitionistic fuzzy ideal
%K commutative falling intuitionistic fuzzy ideal
%R 10.22044/jas.2022.10104.1503
%X 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.
%U https://jas.shahroodut.ac.ir/article_2474_6acb8cf9a78a23653972117b998a766e.pdf