Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/428635 |
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| _version_ | 1849397406874992640 |
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| author | B. A. Ersoy B. Davvaz S. Onar V. Leoreanu-Fotea |
| author_facet | B. A. Ersoy B. Davvaz S. Onar V. Leoreanu-Fotea |
| author_sort | B. A. Ersoy |
| collection | DOAJ |
| description | The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of a Γ-semihyperring, and we study a few results in this respect. |
| format | Article |
| id | doaj-art-ae6a3a3d6ffd4a6d92ac29a8065baf36 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ae6a3a3d6ffd4a6d92ac29a8065baf362025-08-20T03:39:00ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/428635428635Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular NormsB. A. Ersoy0B. Davvaz1S. Onar2V. Leoreanu-Fotea3Department of Mathematics, Yildiz Technical University, 81270 Istanbul, TurkeyDepartment of Mathematics, Yazd University, Yazd, IranDepartment of Mathematics, Yildiz Technical University, 81270 Istanbul, TurkeyFaculty of Mathematics, “Al.I. Cuza” University, Iasi, RomaniaThe concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of a Γ-semihyperring, and we study a few results in this respect.http://dx.doi.org/10.1155/2014/428635 |
| spellingShingle | B. A. Ersoy B. Davvaz S. Onar V. Leoreanu-Fotea Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms The Scientific World Journal |
| title | Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms |
| title_full | Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms |
| title_fullStr | Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms |
| title_full_unstemmed | Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms |
| title_short | Fuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms |
| title_sort | fuzzy γ hyperideals in γ hypersemirings by using triangular norms |
| url | http://dx.doi.org/10.1155/2014/428635 |
| work_keys_str_mv | AT baersoy fuzzyghyperidealsinghypersemiringsbyusingtriangularnorms AT bdavvaz fuzzyghyperidealsinghypersemiringsbyusingtriangularnorms AT sonar fuzzyghyperidealsinghypersemiringsbyusingtriangularnorms AT vleoreanufotea fuzzyghyperidealsinghypersemiringsbyusingtriangularnorms |