Fuzzy Quotient BCK-algebras

In this paper, we introduce the concept of fuzzy congruences and fuzzy quotient algebras in BCK-algebras and prove that there is a bijection between the set of fuzzy ideals and the set of fuzzy congruences and we show that for each fuzzy ideal , there is an associated algebra A/ . Also, we show that A/ is an BCK-algebra.

Keywords:

BCK-algebra , fuzzy ideal , fuzzy congruence