ON FUZZY QUOTIENT BCK-ALGEBRAS

Year 2020, Volume: 10 Issue: 1, 59 - 68, 01.01.2020

S. S. Goraghani

Abstract

In this paper, by considering the concept of fuzzy congruence in some alge-braic structures, we specially study fuzzy congruence in BCK-algebras. We prove that there is a bijection between the set of fuzzy ideals and the set of fuzzy congruences in BCK-algebras. Then we show that for each fuzzy ideal , there is an associated algebra X= that is a BCK-algebra. Also, we obtain a congruence relation on a BCK-algebra by fuzzy ideals.

Keywords

BCK-algebra, Fuzzy ideal, Fuzzy congruence..

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