Generalized (Alpha, Beta)-Fuzzy Interior Ideals in Semigroups

Generalized (Alpha, Beta)-Fuzzy Interior Ideals in Semigroups

In this paper, we introduce the concept of (alpha,beta)-fuzzy interior ideals and discuss some fundamental properties of (alpha,beta)-fuzzy interior ideals. Alpha and beta will denote any one of ∈, q (λ,μ) ,∈v q(λ,μ) or ∈∧q (λ,μ) with α≠∈∧q (λ,μ) unless otherwise specified. When λ=0,μ=0.5, we can ge...

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Hauptverfasser: Zuhua Liao, Miaohan Hu, Min Chen, Lihua Yi, Mingli Rui, Jinhua Lu, Chunzhi Liu
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Algebra
fuzzy semigroups
Fuzzy sets
ideals
q(?
µ))-fuzzy interior ideals
µ))-fuzzy semigroups
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Zusammenfassung:In this paper, we introduce the concept of (alpha,beta)-fuzzy interior ideals and discuss some fundamental properties of (alpha,beta)-fuzzy interior ideals. Alpha and beta will denote any one of ∈, q (λ,μ) ,∈v q(λ,μ) or ∈∧q (λ,μ) with α≠∈∧q (λ,μ) unless otherwise specified. When λ=0,μ=0.5, we can get corresponding results in Jun and Song [Y. B. Jun, S. Z. Song, Generalized fuzzy interior ideals in semi groups, Inform. Sci. 2006, 176: 3079-3093]. When λ = 0,μ = 1, we can get the common results.
DOI:10.1109/CSO.2010.18