Shokoofeh Ghorbani - Department of Mathematics Shahid Bahonar University of Kerman Kerman, Iran
Abbas Hasankhani - Department of Mathematics Shahid Bahonar University of Kerman Kerman, Iran

In this paper we define the concept of fuzzy congruence relations, fuzzy subalgebras, fuzzy convex subalgebras on a residuated lattice and we obtain some related results. In particular, we show that there is a one to one corresponding between the set of all fuzzy convex subalgebras and the set of all fuzzy congruence relations in the residuated lattice.

Residuated lattice, Congruence relation, Convex subalgebra, Fuzzy set, Fuzzy relation