Some Studies Of Strong Fuzzy Congruences On E-inversive Semigroups

In this paper, we mainly study the fuzzy group congruences on an E-inversive semigroup and strong fuzzy congruence pairs of a regular semigroup. Firstly, we introduce the concepts of the fuzzy complete inner-unitary subsemigroups and the fuzzy group congruences on an.E-inversive semigroup. Furthermore, we show that there is a one-one correspondence between the fuzzy complete inner-unitary subsemi-groups and the fuzzy group congruences on an E-inversive semigroup. Secondly, we introduce the concept of strong fuzzy congruence pairs of a regular semigroup. Fi-nally, we describe the strong fuzzy congruences on a regular semigroup by means of their strong fuzzy congruence pairs.