Crossing intuitionistic KU-ideals on KU-algebras as an extension of bipolar fuzzy sets

Abstract

The concept crossing intuitionistic structures set is combination of intuitionistic fuzzy set and $N$- function. In this paper, the concept crossing intuitionistic $KU$-ideals are introduced and several properties are investigated. Also, the relations between crossing intuitionistic $KU$-ideals and crossing intuitionistic ideals are given. The image and the pre-image of crossing intuitionistic $KU$-ideals under homomorphism of $KU$-algebras are defined and how the image and the pre-image of crossing intuitionistic KU-ideals under homomorphism of KU-algebras become crossing intuitionistic $KU$-ideals are studied. Moreover, the Cartesian product of crossing intuitionistic $KU$-ideals in Cartesian product $KU$-algebras is established.