Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
Davvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/658252 |
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| author | Naveed Yaqoob Shamsul Haq |
| author_facet | Naveed Yaqoob Shamsul Haq |
| author_sort | Naveed Yaqoob |
| collection | DOAJ |
| description | Davvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals in terms of set-valued homomorphisms, which are extended notions of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals of Γ-semihypergroups. |
| format | Article |
| id | doaj-art-9a8f0262ccec40c889bc5282a7889844 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9a8f0262ccec40c889bc5282a78898442025-02-03T05:58:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/658252658252Generalized Rough Γ-Hyperideals in Γ-SemihypergroupsNaveed Yaqoob0Shamsul Haq1Department of Mathematics, Quaid-i-Azam University, Islamabad, PakistanNatural Resource and Engineering Department, University of Kurdistan Hewlr, Kurdistan Region, IraqDavvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals in terms of set-valued homomorphisms, which are extended notions of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals of Γ-semihypergroups.http://dx.doi.org/10.1155/2014/658252 |
| spellingShingle | Naveed Yaqoob Shamsul Haq Generalized Rough Γ-Hyperideals in Γ-Semihypergroups Journal of Applied Mathematics |
| title | Generalized Rough Γ-Hyperideals in Γ-Semihypergroups |
| title_full | Generalized Rough Γ-Hyperideals in Γ-Semihypergroups |
| title_fullStr | Generalized Rough Γ-Hyperideals in Γ-Semihypergroups |
| title_full_unstemmed | Generalized Rough Γ-Hyperideals in Γ-Semihypergroups |
| title_short | Generalized Rough Γ-Hyperideals in Γ-Semihypergroups |
| title_sort | generalized rough γ hyperideals in γ semihypergroups |
| url | http://dx.doi.org/10.1155/2014/658252 |
| work_keys_str_mv | AT naveedyaqoob generalizedroughghyperidealsingsemihypergroups AT shamsulhaq generalizedroughghyperidealsingsemihypergroups |