Abstract
The concepts of (∈γ, ∈γ ∨qδ)-fuzzy soft h-ideals (h-bi-ideals, h-quasi-ideals) in Γ-hemirings are introduced. Some new characterization theorems of these kinds of fuzzy soft h-ideals of a Γ-hemiring are also given. Finally, we show that h-hemiregular and h-intra-hemiregular, h-quasi-hemiregular Γ-hemirings can be described by (∈γ, ∈γ ∨qδ)-fuzzy soft h-ideals, (∈γ, ∈γ ∨qδ)-fuzzy soft h-bi-ideals and (∈γ, ∈γ ∨qδ)-fuzzy soft h-quasi-ideals.
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