Q-Fuzzy derivations KU-ideals on KU-algebras

Abstract

In this manuscript, we introduce a new concept, which is called Q- fuzzy left (right) derivations KU- ideals in KU-algebras. We state and prove some theorems about fundamental properties of it. Moreover, we give the concepts of the image and the pre-image of Q- fuzzy left (right) derivations KU-ideals under homomorphism of KU- algebras and investigated some its properties. Further, we have proved that every the image and the pre-image of Q-fuzzy left (right) derivations KU-ideals under homomorphism of KU- algebras are Q- fuzzy left (right) derivations KU-ideals. Furthermore, we give the concept of the Cartesian product of Q- fuzzy left (right) derivations KU - ideals in Cartesian product of KU – algebras.