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