Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings
Generalized roughness for fuzzy ideals in hemirings is studied. Approximations for fuzzy prime ideals are discussed. It is shown that generalized lower approximation as well as generalized upper approximation of (∈ , ∈∨q)-fuzzy prime (semiprime) ideals of hemirings are (∈ , ∈∨q) fuzzy prime (semipri...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-07-01
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| Series: | Kuwait Journal of Science |
| Subjects: | |
| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/1548 |
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| _version_ | 1850138840489000960 |
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| author | Muhammad Rameez Muhammad Irfan Ali Asad Ejaz |
| author_facet | Muhammad Rameez Muhammad Irfan Ali Asad Ejaz |
| author_sort | Muhammad Rameez |
| collection | DOAJ |
| description | Generalized roughness for fuzzy ideals in hemirings is studied. Approximations for fuzzy prime ideals are discussed. It is shown that generalized lower approximation as well as generalized upper approximation of (∈ , ∈∨q)-fuzzy prime (semiprime) ideals of hemirings are (∈ , ∈∨q) fuzzy prime (semiprime) ideals. |
| format | Article |
| id | doaj-art-cd95d2f43f1b454f83cb812f5a20050c |
| institution | OA Journals |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-cd95d2f43f1b454f83cb812f5a20050c2025-08-20T02:30:29ZengElsevierKuwait Journal of Science2307-41082307-41162017-07-01443Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemiringsMuhammad Rameez0Muhammad Irfan Ali1Asad Ejaz2Riphah International University IslamabadIslamabad Model College for Girls F-6/2, Islamabad.Riphah International University IslamabadGeneralized roughness for fuzzy ideals in hemirings is studied. Approximations for fuzzy prime ideals are discussed. It is shown that generalized lower approximation as well as generalized upper approximation of (∈ , ∈∨q)-fuzzy prime (semiprime) ideals of hemirings are (∈ , ∈∨q) fuzzy prime (semiprime) ideals.https://journalskuwait.org/kjs/index.php/KJS/article/view/1548Fuzzy setsRough setsSemiringsIdealsfuzzy ideals. |
| spellingShingle | Muhammad Rameez Muhammad Irfan Ali Asad Ejaz Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings Kuwait Journal of Science Fuzzy sets Rough sets Semirings Ideals fuzzy ideals. |
| title | Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings |
| title_full | Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings |
| title_fullStr | Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings |
| title_full_unstemmed | Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings |
| title_short | Generalized roughness in (∈,∈∨q)-fuzzy ideals of hemirings |
| title_sort | generalized roughness in ∈ ∈∨q fuzzy ideals of hemirings |
| topic | Fuzzy sets Rough sets Semirings Ideals fuzzy ideals. |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/1548 |
| work_keys_str_mv | AT muhammadrameez generalizedroughnessinqfuzzyidealsofhemirings AT muhammadirfanali generalizedroughnessinqfuzzyidealsofhemirings AT asadejaz generalizedroughnessinqfuzzyidealsofhemirings |