Abstract
In this paper, we generalize the concept of (∈, ∈∨ qk)-fuzzy hyperideals of a semihypergroup H and we define (∈γ , ∈γ ∨qδ)-fuzzy subsemihypergroup, (∈γ , ∈γ ∨qδ)-fuzzy left (right) hyperideal, (∈γ , ∈γ ∨qδ)-fuzzy hyperideal, (∈γ , ∈γ ∨qδ)-fuzzy interior hyperideal, (∈γ , ∈γ ∨qδ)-fuzzy quasihyperideal, (∈γ , ∈γ ∨qδ)-fuzzy bi-hyperideal and (∈γ , ∈γ ∨qδ)-fuzzy generalized bi-hyperideal of a semihypergroup H and study some basic properties. Also we characterize regular and intra-regular semihypergroups using these notions.
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