Characterizations of fuzzy soft Γ-hemirings

Authors:
Jianming Zhan;Irina Cristea
Affiliations:
Department of Mathematics, Hubei University for Nationalities, Enshi, China;Centre for Systems and Information Technologies, University of Nova Gorica, Nova Gorica, Slovenia
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

Citing 21
Cited 1

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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.