Fuzzy Group Congruences onan E-inversive Semigroup

摘要

In this paper, we introduce the concepts of the fuzzy complete innerunitarysubsemigroups and the fuzzy group congruences on an E-inversivesemigroup. Some of their properties are investigated. Finally, we showthat there is a one-one correspondence between the fuzzy completeinner-unitary subsemigroups and the fuzzy group congruences on anE-inversive semigroup.