On Fuzzy Ordered Hyperideals in Ordered Semihyperrings
In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi-hyperidea...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2019/3693926 |
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| _version_ | 1832552666966786048 |
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| author | O. Kazancı Ş. Yılmaz B. Davvaz |
| author_facet | O. Kazancı Ş. Yılmaz B. Davvaz |
| author_sort | O. Kazancı |
| collection | DOAJ |
| description | In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi-hyperideal is a fuzzy ordered bi-hyperideal, and, in a regular ordered semihyperring, fuzzy ordered quasi-hyperideal and fuzzy ordered bi-hyperideal coincide. |
| format | Article |
| id | doaj-art-be8bfcf0250a45eb8db946164bd2c7b7 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-be8bfcf0250a45eb8db946164bd2c7b72025-02-03T05:58:12ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2019-01-01201910.1155/2019/36939263693926On Fuzzy Ordered Hyperideals in Ordered SemihyperringsO. Kazancı0Ş. Yılmaz1B. Davvaz2Department of Mathematics, Karadeniz Technical University, 61080, Trabzon, TurkeyDepartment of Mathematics, Karadeniz Technical University, 61080, Trabzon, TurkeyDepartment of Mathematics, Yazd University, Yazd, IranIn this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi-hyperideal is a fuzzy ordered bi-hyperideal, and, in a regular ordered semihyperring, fuzzy ordered quasi-hyperideal and fuzzy ordered bi-hyperideal coincide.http://dx.doi.org/10.1155/2019/3693926 |
| spellingShingle | O. Kazancı Ş. Yılmaz B. Davvaz On Fuzzy Ordered Hyperideals in Ordered Semihyperrings Advances in Fuzzy Systems |
| title | On Fuzzy Ordered Hyperideals in Ordered Semihyperrings |
| title_full | On Fuzzy Ordered Hyperideals in Ordered Semihyperrings |
| title_fullStr | On Fuzzy Ordered Hyperideals in Ordered Semihyperrings |
| title_full_unstemmed | On Fuzzy Ordered Hyperideals in Ordered Semihyperrings |
| title_short | On Fuzzy Ordered Hyperideals in Ordered Semihyperrings |
| title_sort | on fuzzy ordered hyperideals in ordered semihyperrings |
| url | http://dx.doi.org/10.1155/2019/3693926 |
| work_keys_str_mv | AT okazancı onfuzzyorderedhyperidealsinorderedsemihyperrings AT syılmaz onfuzzyorderedhyperidealsinorderedsemihyperrings AT bdavvaz onfuzzyorderedhyperidealsinorderedsemihyperrings |