Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems
This paper discusses and proposes a rough set model for an incomplete information system, which defines an extended tolerance relation using frequency of attribute values in such a system. It first discusses some rough set extensions in incomplete information systems. Next, “probability of matching...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2013/372091 |
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| _version_ | 1849683434355556352 |
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| author | Do Van Nguyen Koichi Yamada Muneyuki Unehara |
| author_facet | Do Van Nguyen Koichi Yamada Muneyuki Unehara |
| author_sort | Do Van Nguyen |
| collection | DOAJ |
| description | This paper discusses and proposes a rough set model for an incomplete information system, which defines an extended tolerance relation using frequency of attribute values in such a system. It first discusses some rough set extensions in incomplete information systems. Next, “probability of matching” is defined from data in information systems and then measures the degree of tolerance. Consequently, a rough set model is developed using a tolerance relation defined with a threshold. The paper discusses the mathematical properties of the newly developed rough set model and also introduces a method to derive reducts and the core. |
| format | Article |
| id | doaj-art-dc515a97cbcb4326adfca8e68af81d4c |
| institution | DOAJ |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-dc515a97cbcb4326adfca8e68af81d4c2025-08-20T03:23:55ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2013-01-01201310.1155/2013/372091372091Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information SystemsDo Van Nguyen0Koichi Yamada1Muneyuki Unehara2Department of Management and Information Systems Engineering, Nagaoka University of Technology, Nagaoka 940-2188, JapanDepartment of Management and Information Systems Engineering, Nagaoka University of Technology, Nagaoka 940-2188, JapanDepartment of Management and Information Systems Engineering, Nagaoka University of Technology, Nagaoka 940-2188, JapanThis paper discusses and proposes a rough set model for an incomplete information system, which defines an extended tolerance relation using frequency of attribute values in such a system. It first discusses some rough set extensions in incomplete information systems. Next, “probability of matching” is defined from data in information systems and then measures the degree of tolerance. Consequently, a rough set model is developed using a tolerance relation defined with a threshold. The paper discusses the mathematical properties of the newly developed rough set model and also introduces a method to derive reducts and the core.http://dx.doi.org/10.1155/2013/372091 |
| spellingShingle | Do Van Nguyen Koichi Yamada Muneyuki Unehara Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems Advances in Fuzzy Systems |
| title | Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems |
| title_full | Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems |
| title_fullStr | Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems |
| title_full_unstemmed | Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems |
| title_short | Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems |
| title_sort | extended tolerance relation to define a new rough set model in incomplete information systems |
| url | http://dx.doi.org/10.1155/2013/372091 |
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