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

Authors:
Xueling Ma;Jianming Zhan
Affiliations:
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China;Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
Year:
2013

Citing 19
Cited 1

∈,∈∨q -fuzzy subgroup

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On fuzzy h-ideals in hemirings

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Fuzzy h-ideals of hemirings

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Soft sets and soft groups

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The characterizations of h-hemiregular hemirings and h-intra-hemiregular hemirings

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Soft BCK/BCI-algebras

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Soft semirings

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Generalized fuzzy h-bi-ideals and h-quasi-ideals of hemirings

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On some new operations in soft set theory

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(α,β)-fuzzy ideals of hemirings

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Generalised fuzzy soft sets

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An adjustable approach to fuzzy soft set based decision making

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Note on "(α,β)-fuzzy ideals of hemirings"

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Characterizations of hemirings by their h-ideals

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Soft matrix theory and its decision making

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Soft sets and soft rings

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Soft sets and soft rough sets

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Algebraic structures of soft sets associated with new operations

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Applications of soft union sets to hemirings via SU-h-ideals

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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.