Fuzzy Γ-hypergroups

Abstract

In this paper, we introduce and analyze fuzzy -hypergroups. We study fuzzy -hypergroups and fuzzy -hypergroup homomorphisms in connections with the associated -hypergroups and -hypergroup homomorphisms, respectively. Finally, since the fuzzy regular relations play an important role in getting quotient -structures, we introduce and analyze fuzzy regular and fuzzy strongly regular relations on fuzzy -hypergroups.