Rough Fuzzy Hyperideals in Ternary Semihypergroups
The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups. We introduce the notion of rough hype...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/595687 |
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| author | Naveed Yaqoob Muhammad Aslam Kostaq Hila |
| author_facet | Naveed Yaqoob Muhammad Aslam Kostaq Hila |
| author_sort | Naveed Yaqoob |
| collection | DOAJ |
| description | The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups. We introduce the notion of rough hyperideals and rough bi-hyperideals in ternary semihypergroups. We also study fuzzy, rough, and rough fuzzy ternary subsemihypergroups (left hyperideals, right hyperideals, lateral hyperideals, hyperideals, and bi-hyperideals) of ternary semihypergroups. |
| format | Article |
| id | doaj-art-b06b9d33740e4ca0b4afb0a328e1cfb4 |
| institution | OA Journals |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-b06b9d33740e4ca0b4afb0a328e1cfb42025-08-20T02:19:18ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/595687595687Rough Fuzzy Hyperideals in Ternary SemihypergroupsNaveed Yaqoob0Muhammad Aslam1Kostaq Hila2Department of Mathematics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Mathematics and Computer Science, University of Gjirokastra, Gjirokastra, AlbaniaThe relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups. We introduce the notion of rough hyperideals and rough bi-hyperideals in ternary semihypergroups. We also study fuzzy, rough, and rough fuzzy ternary subsemihypergroups (left hyperideals, right hyperideals, lateral hyperideals, hyperideals, and bi-hyperideals) of ternary semihypergroups.http://dx.doi.org/10.1155/2012/595687 |
| spellingShingle | Naveed Yaqoob Muhammad Aslam Kostaq Hila Rough Fuzzy Hyperideals in Ternary Semihypergroups Advances in Fuzzy Systems |
| title | Rough Fuzzy Hyperideals in Ternary Semihypergroups |
| title_full | Rough Fuzzy Hyperideals in Ternary Semihypergroups |
| title_fullStr | Rough Fuzzy Hyperideals in Ternary Semihypergroups |
| title_full_unstemmed | Rough Fuzzy Hyperideals in Ternary Semihypergroups |
| title_short | Rough Fuzzy Hyperideals in Ternary Semihypergroups |
| title_sort | rough fuzzy hyperideals in ternary semihypergroups |
| url | http://dx.doi.org/10.1155/2012/595687 |
| work_keys_str_mv | AT naveedyaqoob roughfuzzyhyperidealsinternarysemihypergroups AT muhammadaslam roughfuzzyhyperidealsinternarysemihypergroups AT kostaqhila roughfuzzyhyperidealsinternarysemihypergroups |