Given a set $Q$, we introduce the notion of 

$Q$-fuzzy subalgebras of BCK/BCI-algebras, 

and provide some appropriate examples. 

Using fuzzy subalgebras, we describe $Q$-fuzzy 

subalgebras. Conversely, we construct fuzzy 

subalgebras by using $Q$-fuzzysubalgebras. 

How the homomorphic images and inverse images of 

$Q$-fuzzy subalgebras become $Q$-fuzzy subalgebras 

is stated.