Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings
As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ-hyperideals of a Γ-semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noe...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/560698 |
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| _version_ | 1832549642554834944 |
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| author | Bayram Ali Ersoy Bijan Davvaz |
| author_facet | Bayram Ali Ersoy Bijan Davvaz |
| author_sort | Bayram Ali Ersoy |
| collection | DOAJ |
| description | As we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ-hyperideals of a Γ-semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Γ-semihyperring are given. |
| format | Article |
| id | doaj-art-3f7cc163c4c041988d8eb6e11e107f7a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3f7cc163c4c041988d8eb6e11e107f7a2025-02-03T06:10:51ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/560698560698Structure of Intuitionistic Fuzzy Sets in Γ-SemihyperringsBayram Ali Ersoy0Bijan Davvaz1Department of Mathematics, Yildiz Technical University, 34210 Istanbul, TurkeyDepartment of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, IranAs we know, intuitionistic fuzzy sets are extensions of the standard fuzzy sets. Now, in this paper, the basic definitions and properties of intuitionistic fuzzy Γ-hyperideals of a Γ-semihyperring are introduced. A few examples are presented. In particular, some characterizations of Artinian and Noetherian Γ-semihyperring are given.http://dx.doi.org/10.1155/2013/560698 |
| spellingShingle | Bayram Ali Ersoy Bijan Davvaz Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings Abstract and Applied Analysis |
| title | Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings |
| title_full | Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings |
| title_fullStr | Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings |
| title_full_unstemmed | Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings |
| title_short | Structure of Intuitionistic Fuzzy Sets in Γ-Semihyperrings |
| title_sort | structure of intuitionistic fuzzy sets in γ semihyperrings |
| url | http://dx.doi.org/10.1155/2013/560698 |
| work_keys_str_mv | AT bayramaliersoy structureofintuitionisticfuzzysetsingsemihyperrings AT bijandavvaz structureofintuitionisticfuzzysetsingsemihyperrings |