Affiliations: Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China
Note: [] Corresponding author. Jianming Zhan, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China. Tel/Fax: +86 718 8437732. E-mails: [email protected] (J. Zhan), [email protected] (X. Ma).
Abstract: 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.
