Title of article :
ON FUZZY QUOTIENT BCK-ALGEBRAS
Author/Authors :
SAIDI GORAGHANI, S Department of Mathematics - Farhangian University, Tarbiat-e-Moallem St - Shahid Farahzadi Blv - Qods, Iran
Abstract :
In this paper, by considering the concept of fuzzy congruence in some algebraic 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 µ, there is an associated algebra
X/µ 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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
