Abstract:

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. Finally, sufficient and necessary conditions for a Fuzzy good congruence on an ICquasiadequate semigroup to be cancellative were proved.

Key words: ICquasiadequate semigroup, Fuzzy good congruence; Fuzzy cancellative congruence