Affiliations: Department of Mathematics, Hubei University for Nationalities, Enshi, China | Centre for Systems and Information Technologies, University of Nova Gorica, Nova Gorica, Slovenia
Note: [] Corresponding author. Jianming Zhan, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province 445000, China. Tel: +86 0718 8437732. E-mails: [email protected] (J. Zhan); [email protected] (I. Cristea).
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.
