Fuzzy congruence relations on pseudo BE-algebras

Document Type : Original Article


1 Department of Mathematics, Payame Noor University, P.o.box. 19395-3697, Tehran, Iran

2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

3 Department of Mathematics, Beihang University (BUAA), BUA-Haidian School of Applied Technology, china


In this paper, we introduce the concept of fuzzy congruence relations on a pseudo BE-algebra and some of properties are investigated. We show that the set of all fuzzy congruence relations is a modular lattice and the quotient structure induced by fuzzy congruence relations is studied.