Journal of Applied Mathematics

( λ , μ ) -Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals

Yuming Feng and P. Corsini

Full-text: Open access

Abstract

We introduced ( λ , μ ) -fuzzy ideals, ( λ , μ ) -fuzzy interior ideals, ( λ , μ ) -fuzzy quasi-ideals, and ( λ , μ ) -fuzzy bi-ideals of an ordered semigroup and studied them. When λ = 0 and μ = 1 , we meet the ordinary fuzzy ones. This paper can be seen as a generalization of Kehayopulu and Tsingelis (2006), Kehayopulu and Tsingelis (2007), and Yao (2009).

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 425890, 7 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495049

Digital Object Identifier
doi:10.1155/2012/425890

Mathematical Reviews number (MathSciNet)
MR2880862

Zentralblatt MATH identifier
1241.06012

Citation

Feng, Yuming; Corsini, P. $(\mathbf{\lambda },\mathbf{\mu })$ -Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals. J. Appl. Math. 2012 (2012), Article ID 425890, 7 pages. doi:10.1155/2012/425890. https://projecteuclid.org/euclid.jam/1355495049


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