On Fuzzy Γ-Hypersemigroups
نویسندگان
چکیده
We introduced and study fuzzy Γ-hypersemigroups, according to fuzzy semihypergroups as previously defined [33] and prove that results in this respect. In this regard first we introduce fuzzy hyperoperation and then study fuzzy Γ-hypersemigroup. We will proceed by study fuzzy Γ-hyperideals and fuzzy Γ-bihyperideals. Also we study the relation between the classes of fuzzy Γ-hypersemigroups and Γ-semigroups. Precisely, we associate a Γ-hypersemigroup to every fuzzy Γ-hypersemigroup and vice versa. Finally, we introduce and study fuzzy Γ-hypersemigroups regular and fuzzy strongly regular relations of fuzzy Γ-hypersemigroups.
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