ON FUZZY QUOTIENT BCK-ALGEBRAS

Özet

In this paper, by considering the concept of fuzzy congruence in some alge-braic structures, we specially study fuzzy congruence inBCK-algebras. We prove thatthere is a bijection between the set of fuzzy ideals and the set of fuzzy congruences inBCK-algebras. Then we show that for each fuzzy idealμ, there is an associated algebraX/μthat is aBCK-algebra. Also, we obtain a congruence relation on aBCK-algebraby fuzzy ideals.