Characterizations of three kinds of hemirings by fuzzy soft h-ideals

The concept of ∈γ, ∈γ $\vee$qδ-fuzzy soft h-interior-ideals of hemirings is introduced and some related properties are obtained. In particular, the characterization of prime ∈γ, ∈γ $\vee$qδ-fuzzy soft h-interior-ideals of hemirings is provided. Finally, we show that three kinds of h-intra-hemiregular, h-quasi-hemiregular and h-semisimple hemirings can be described by ∈γ, ∈γ $\vee$qδ-fuzzy soft h-ideals, ∈γ, ∈γ $\vee$qδ-fuzzy soft h-bi-ideals, ∈γ, ∈γ $\vee$qδ-fuzzy soft h-quasi-ideals and ∈γ, ∈γ $\vee$qδ-fuzzy soft h-interior-ideals. We also pointed out that Definition 4.19 in [29] is not true.

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