(λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals
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 an...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/425890 |
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| _version_ | 1832560800869384192 |
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| author | Yuming Feng P. Corsini |
| author_facet | Yuming Feng P. Corsini |
| author_sort | Yuming Feng |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-3cbdccdb16ab47058d9f9697e405e398 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3cbdccdb16ab47058d9f9697e405e3982025-02-03T01:26:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/425890425890(λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-IdealsYuming Feng0P. Corsini1College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, ChinaDipartimento di Matematica e Informatica, Università Degli Studi di Udine, Via delle Scienze 206, 33100 Udine, ItalyWe 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).http://dx.doi.org/10.1155/2012/425890 |
| spellingShingle | Yuming Feng P. Corsini (λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals Journal of Applied Mathematics |
| title | (λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals |
| title_full | (λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals |
| title_fullStr | (λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals |
| title_full_unstemmed | (λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals |
| title_short | (λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals |
| title_sort | λ μ fuzzy version of ideals interior ideals quasi ideals and bi ideals |
| url | http://dx.doi.org/10.1155/2012/425890 |
| work_keys_str_mv | AT yumingfeng lmfuzzyversionofidealsinterioridealsquasiidealsandbiideals AT pcorsini lmfuzzyversionofidealsinterioridealsquasiidealsandbiideals |