(λ, μ)-fuzzy interior ideals of ordered Г-semigroups
For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coincid...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152308 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | (λ, μ)-fuzzy interior ideals of ordered Г-semigroups / Yu. Feng, P. Corsini // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 61–70. — Бібліогр.: 24 назв. — англ. |
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Feng, Yu. Corsini, P. 2019-06-09T17:14:16Z 2019-06-09T17:14:16Z 2013 (λ, μ)-fuzzy interior ideals of ordered Г-semigroups / Yu. Feng, P. Corsini // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 61–70. — Бібліогр.: 24 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/152308 For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coincide. Lastly, we introduced the concept of a (λ, μ)-fuzzy simple ordered Γ-semigroup and characterized the simple ordered Γ-semigroups in terms of (λ, μ)-fuzzy interior ideals. This paper is finished during the first author’s visiting in Universita’ degli Studi di Udine. The first author wishes to give his hearted thanks to Mr. Zuddas, Mr. Sciarretta, Mr. Gessel and Mr. Li Lei for the kind help during his stay in Udine. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics (λ, μ)-fuzzy interior ideals of ordered Г-semigroups Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| spellingShingle |
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups Feng, Yu. Corsini, P. |
| title_short |
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_full |
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_fullStr |
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_full_unstemmed |
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups |
| title_sort |
(λ, μ)-fuzzy interior ideals of ordered г-semigroups |
| author |
Feng, Yu. Corsini, P. |
| author_facet |
Feng, Yu. Corsini, P. |
| publishDate |
2013 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered semigroups the (λ, μ)-fuzzy ideals and the (λ, μ)-fuzzy interior ideals coincide. Lastly, we introduced the concept of a (λ, μ)-fuzzy simple ordered Γ-semigroup and characterized the simple ordered Γ-semigroups in terms of (λ, μ)-fuzzy interior ideals.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152308 |
| citation_txt |
(λ, μ)-fuzzy interior ideals of ordered Г-semigroups / Yu. Feng, P. Corsini // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 61–70. — Бібліогр.: 24 назв. — англ. |
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AT fengyu λμfuzzyinterioridealsoforderedgsemigroups AT corsinip λμfuzzyinterioridealsoforderedgsemigroups |
| first_indexed |
2025-12-07T17:02:19Z |
| last_indexed |
2025-12-07T17:02:19Z |
| _version_ |
1850869745869389824 |