On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups
In this paper, we concentrate on studying the generalization of almost interior Γ-hyperideals in ordered Γ-semihypergroups. The notion of weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups is introduced. This concept generalizes the notion of almost interior Γ-hyperideals in ordered Γ...
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-07-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2846 |
| _version_ | 1797404914786238464 |
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| author | Warud Nakkhasen Ronnason Chinram Aiyared Iampan |
| author_facet | Warud Nakkhasen Ronnason Chinram Aiyared Iampan |
| author_sort | Warud Nakkhasen |
| collection | DOAJ |
| description | In this paper, we concentrate on studying the generalization of almost interior Γ-hyperideals in ordered Γ-semihypergroups. The notion of weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups is introduced. This concept generalizes the notion of almost interior Γ-hyperideals in ordered Γ-semihypergroups. Then, the characterization of ordered Γ-semihypergroups having no proper weakly almost interior Γ-hyperideals is provided. Next, we introduce the concept of fuzzy weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups. Also, some properties of fuzzy weakly almost interior Γ-hyperideals are considered. Moreover, the concepts of weakly almost interior Γ-hyperideals and fuzzy weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups are characterized. The connections between strongly prime (resp., prime, semiprime) weakly almost interior Γ-hyperideals and fuzzy strongly prime (resp., prime, semiprime) weakly almost interior Γ-hyperideals in ordered Γ-semihypergroups are presented. |
| first_indexed | 2024-03-09T03:01:58Z |
| format | Article |
| id | doaj.art-69429d25802e41f7b07ffe66862fd9c0 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-09T03:01:58Z |
| publishDate | 2023-07-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-69429d25802e41f7b07ffe66862fd9c02023-12-04T12:13:05ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-07-0121777710.28924/2291-8639-21-2023-772231On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-SemihypergroupsWarud Nakkhasen0Ronnason ChinramAiyared Iampana:1:{s:5:"en_US";s:70:"Department of Mathematics, Faculty of Science, Mahasarakham University";}In this paper, we concentrate on studying the generalization of almost interior Γ-hyperideals in ordered Γ-semihypergroups. The notion of weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups is introduced. This concept generalizes the notion of almost interior Γ-hyperideals in ordered Γ-semihypergroups. Then, the characterization of ordered Γ-semihypergroups having no proper weakly almost interior Γ-hyperideals is provided. Next, we introduce the concept of fuzzy weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups. Also, some properties of fuzzy weakly almost interior Γ-hyperideals are considered. Moreover, the concepts of weakly almost interior Γ-hyperideals and fuzzy weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups are characterized. The connections between strongly prime (resp., prime, semiprime) weakly almost interior Γ-hyperideals and fuzzy strongly prime (resp., prime, semiprime) weakly almost interior Γ-hyperideals in ordered Γ-semihypergroups are presented.http://etamaths.com/index.php/ijaa/article/view/2846 |
| spellingShingle | Warud Nakkhasen Ronnason Chinram Aiyared Iampan On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups International Journal of Analysis and Applications |
| title | On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups |
| title_full | On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups |
| title_fullStr | On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups |
| title_full_unstemmed | On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups |
| title_short | On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups |
| title_sort | on fuzzy weakly almost interior γ hyperideals in ordered γ semihypergroups |
| url | http://etamaths.com/index.php/ijaa/article/view/2846 |
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