In this paper, we introduce the concept of Anti Q-fuzzy KU-subalgebras 
of KU-algebras. Also we discussed few results of KU-ideal of KU-algebra 
under homomorphism and anti homomorphism and some of its properties. 
we proved that if µ and are anti Q- fuzzy KU- ideals in KU – algebra X, 
then µ x is an anti Q- fuzzy KU-ideal in X x X and few more results in 
Cartesian product.