Fuzzy soft Γ-hemirings

Maji et al. (2001) introduced the concept of a fuzzy soft set, which is an extension to the concept of a soft set. The concepts of (∈γ, ∈γ ∨qδ)-fuzzy soft left h-ideals (right h-ideals, h-interior-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-semisimple Γ-hemirings can be described by (∈γ, ∈γ ∨qδ)-fuzzy soft h-ideals and (∈γ, ∈γ ∨qδ)-fuzzy soft h-interior-ideals.