Soft Covering Based Rough Sets and Their Application
Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives r...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/970893 |
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| _version_ | 1849402743996809216 |
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| author | Şaziye Yüksel Zehra Güzel Ergül Naime Tozlu |
| author_facet | Şaziye Yüksel Zehra Güzel Ergül Naime Tozlu |
| author_sort | Şaziye Yüksel |
| collection | DOAJ |
| description | Soft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives rise to the new kind of soft rough sets. Based on the covering soft sets, we establish soft covering approximation space and soft covering rough approximation operators and present their basic properties. We show that a new type of the soft covering upper approximation operator is smaller than soft upper approximation operator. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our data are 78 patients from Selçuk University Meram Medicine Faculty. |
| format | Article |
| id | doaj-art-9423b348b1d64b51a48b3bda04c5c41b |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-9423b348b1d64b51a48b3bda04c5c41b2025-08-20T03:37:28ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/970893970893Soft Covering Based Rough Sets and Their ApplicationŞaziye Yüksel0Zehra Güzel Ergül1Naime Tozlu2Department of Mathematics, Faculty of Science, Selçuk University, 42003 Konya, TurkeyDepartment of Mathematics, Faculty of Science and Art, Ahi Evran University, 40100 Kırşehir, TurkeyDepartment of Mathematics, Faculty of Science and Art, Niğde University, 51100 Niğde, TurkeySoft rough sets which are a hybrid model combining rough sets with soft sets are defined by using soft rough approximation operators. Soft rough sets can be seen as a generalized rough set model based on soft sets. The present paper aims to combine the covering soft set with rough set, which gives rise to the new kind of soft rough sets. Based on the covering soft sets, we establish soft covering approximation space and soft covering rough approximation operators and present their basic properties. We show that a new type of the soft covering upper approximation operator is smaller than soft upper approximation operator. Also we present an example in medicine which aims to find the patients with high prostate cancer risk. Our data are 78 patients from Selçuk University Meram Medicine Faculty.http://dx.doi.org/10.1155/2014/970893 |
| spellingShingle | Şaziye Yüksel Zehra Güzel Ergül Naime Tozlu Soft Covering Based Rough Sets and Their Application The Scientific World Journal |
| title | Soft Covering Based Rough Sets and Their Application |
| title_full | Soft Covering Based Rough Sets and Their Application |
| title_fullStr | Soft Covering Based Rough Sets and Their Application |
| title_full_unstemmed | Soft Covering Based Rough Sets and Their Application |
| title_short | Soft Covering Based Rough Sets and Their Application |
| title_sort | soft covering based rough sets and their application |
| url | http://dx.doi.org/10.1155/2014/970893 |
| work_keys_str_mv | AT saziyeyuksel softcoveringbasedroughsetsandtheirapplication AT zehraguzelergul softcoveringbasedroughsetsandtheirapplication AT naimetozlu softcoveringbasedroughsetsandtheirapplication |