The notion of KU-algebra was introduced by Prabpayak and Leerawat [1, 2] as a generalization of BCK and BCI-algebra. In this paper, we introduce and study the notion of intuitionistic Q-fuzzy right (left) derivation property as KU-ideals of KU-algebra. Also, we gave an idea of Cartesian product of KU-ideals from KU-algebra of right (left) derivations with respect to an intuitionistic Q-fuzzy set.

intuitionistic fuzzy set, intuitionistic Q-fuzzy set, KU-algebras, intuitionistic Q-fuzzy left (right) derivations KU-ideals, Cartesian product of an intuitionistic Q-fuzzy left (right) derivations KU-ideals.