A Variable Precision Covering-Based Rough Set Model Based on Functions
Classical rough set theory is a technique of granular computing for handling the uncertainty, vagueness, and granularity in information systems. Covering-based rough sets are proposed to generalize this theory for dealing with covering data. By introducing a concept of misclassification rate functio...
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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/10.1155/2014/210129 |
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| _version_ | 1832545627001585664 |
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| author | Yanqing Zhu William Zhu |
| author_facet | Yanqing Zhu William Zhu |
| author_sort | Yanqing Zhu |
| collection | DOAJ |
| description | Classical rough set theory is a technique of granular computing for handling the uncertainty, vagueness, and granularity in information systems. Covering-based rough sets are proposed to generalize this theory for dealing with covering data. By introducing a concept of misclassification rate functions, an extended variable precision covering-based rough set model is proposed in this paper. In addition, we define the f-lower and f-upper approximations in terms of neighborhoods in the extended model and study their properties. Particularly, two coverings with the same reductions are proved to generate the same f-lower and f-upper approximations. Finally, we discuss the relationships between the new model and some other variable precision rough set models. |
| format | Article |
| id | doaj-art-149135d9bb2342f98b64f7dfa3547d35 |
| 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-149135d9bb2342f98b64f7dfa3547d352025-02-03T07:25:16ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/210129210129A Variable Precision Covering-Based Rough Set Model Based on FunctionsYanqing Zhu0William Zhu1Lab of Granular Computing, Minnan Normal University, Zhangzhou 363000, ChinaLab of Granular Computing, Minnan Normal University, Zhangzhou 363000, ChinaClassical rough set theory is a technique of granular computing for handling the uncertainty, vagueness, and granularity in information systems. Covering-based rough sets are proposed to generalize this theory for dealing with covering data. By introducing a concept of misclassification rate functions, an extended variable precision covering-based rough set model is proposed in this paper. In addition, we define the f-lower and f-upper approximations in terms of neighborhoods in the extended model and study their properties. Particularly, two coverings with the same reductions are proved to generate the same f-lower and f-upper approximations. Finally, we discuss the relationships between the new model and some other variable precision rough set models.http://dx.doi.org/10.1155/2014/210129 |
| spellingShingle | Yanqing Zhu William Zhu A Variable Precision Covering-Based Rough Set Model Based on Functions The Scientific World Journal |
| title | A Variable Precision Covering-Based Rough Set Model Based on Functions |
| title_full | A Variable Precision Covering-Based Rough Set Model Based on Functions |
| title_fullStr | A Variable Precision Covering-Based Rough Set Model Based on Functions |
| title_full_unstemmed | A Variable Precision Covering-Based Rough Set Model Based on Functions |
| title_short | A Variable Precision Covering-Based Rough Set Model Based on Functions |
| title_sort | variable precision covering based rough set model based on functions |
| url | http://dx.doi.org/10.1155/2014/210129 |
| work_keys_str_mv | AT yanqingzhu avariableprecisioncoveringbasedroughsetmodelbasedonfunctions AT williamzhu avariableprecisioncoveringbasedroughsetmodelbasedonfunctions AT yanqingzhu variableprecisioncoveringbasedroughsetmodelbasedonfunctions AT williamzhu variableprecisioncoveringbasedroughsetmodelbasedonfunctions |