According to the concepts of a Fuzzy good congruence relation and a Fuzzy cancellative congruence relation on abundant semigroups,some properties and characterizations of Fuzzy good congruences and Fuzzy cancellative congruences on IC-quasi-adequate semigroups were given.

This paper introduces the notions of a fuzzy right good congruence relation and a fuzzy right can-cellative congruence relation on left abundant semigroups,and gives some properties and characterizations of fuzzy right good congruences on such semigroups.

Fuzzy subgroups and Fuzzy congruences;

The fuzzy ideal and fuzzy congruence relations of the lattice;

Fuzzy Congruence Relations on Boolean Algebra;

In this paper, the definition of fuzzy congruence relations on lattice-ordered ring is given, some properties of it are studied, the set of all fuzzy congruence relations on a lattice-ordered ring is proved to be a modular lattice about the inclusion relation of fuzzy sets.

Some Fuzzy Filters and Fuzzy Congruence Relations on Residuated Lattice;

According to the concepts of a Fuzzy good congruence relation and a Fuzzy cancellative congruence relation on abundant semigroups,some properties and characterizations of Fuzzy good congruences and Fuzzy cancellative congruences on IC-quasi-adequate semigroups were given.