Fuzzy rough set models over two universes
The extension of rough set model is an important research direction in rough set theory. The aim of this paper is to present new extensions of the rough set model over two different universes which are rough fuzzy set model in a generalized approximation space, rough set model in a fuzzy approximati...
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| Veröffentlicht in: | International journal of machine learning and cybernetics 2013-12, Vol.4 (6), p.631-645 |
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| container_title | International journal of machine learning and cybernetics |
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| creator | Xu, Weihua Sun, Wenxin Liu, Yufeng Zhang, Wenxiu |
| description | The extension of rough set model is an important research direction in rough set theory. The aim of this paper is to present new extensions of the rough set model over two different universes which are rough fuzzy set model in a generalized approximation space, rough set model in a fuzzy approximation space and rough fuzzy set model in a fuzzy approximation space based over two different universes. Moreover, the properties of the approximation operators in these models are investigated. Furthermore, by employing cut set of fuzzy set and fuzzy relation, classical representations of fuzzy rough approximation operators are studied. Finally, the measures of fuzzy rough set models are presented, and the relationships among the fuzzy rough models and rough set model over two universes are investigated. |
| doi_str_mv | 10.1007/s13042-012-0129-1 |
| format | Article |
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Finally, the measures of fuzzy rough set models are presented, and the relationships among the fuzzy rough models and rough set model over two universes are investigated.</description><subject>Approximation</subject><subject>Artificial Intelligence</subject><subject>Complex Systems</subject><subject>Computational Intelligence</subject><subject>Control</subject><subject>Engineering</subject><subject>Fuzzy sets</subject><subject>Information systems</subject><subject>Mathematical analysis</subject><subject>Mechatronics</subject><subject>Neighborhoods</subject><subject>Operators</subject><subject>Original Article</subject><subject>Pattern Recognition</subject><subject>Robotics</subject><subject>Rough set models</subject><subject>Set theory</subject><subject>Systems Biology</subject><subject>Universe</subject><issn>1868-8071</issn><issn>1868-808X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1UE1LAzEQDaJgqf0B3hY8eVidyexukqMUq0LBi4K3sGaT2tI2NdlV2l9v1hU9OfCYd3gf8Bg7R7hCAHEdkaDgOeA3VI5HbISykrkE-XL8ywWeskmMK0hXARHwEbucdYfDPgu-W7xl0bbZxjd2HTP_YUPWfvqs2y4TjTaesRNXr6Od_Pwxe57dPk3v8_nj3cP0Zp4bwqrN0RhbO4TKOCLVkKPSFthIq0yhlCNZlK81lFIUvFGkiLisUAihpGs4cKQxuxhyd8G_dza2euW7sE2VmitUFQAXMqlwUJngYwzW6V1Ybuqw1wi6H0UPo-g0SA-l-2Q-eGLSbhc2_CX_b_oCQ-Vhwg</recordid><startdate>20131201</startdate><enddate>20131201</enddate><creator>Xu, Weihua</creator><creator>Sun, Wenxin</creator><creator>Liu, Yufeng</creator><creator>Zhang, Wenxiu</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope></search><sort><creationdate>20131201</creationdate><title>Fuzzy rough set models over two universes</title><author>Xu, Weihua ; 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J. Mach. Learn. & Cyber</stitle><date>2013-12-01</date><risdate>2013</risdate><volume>4</volume><issue>6</issue><spage>631</spage><epage>645</epage><pages>631-645</pages><issn>1868-8071</issn><eissn>1868-808X</eissn><abstract>The extension of rough set model is an important research direction in rough set theory. The aim of this paper is to present new extensions of the rough set model over two different universes which are rough fuzzy set model in a generalized approximation space, rough set model in a fuzzy approximation space and rough fuzzy set model in a fuzzy approximation space based over two different universes. Moreover, the properties of the approximation operators in these models are investigated. Furthermore, by employing cut set of fuzzy set and fuzzy relation, classical representations of fuzzy rough approximation operators are studied. 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| subjects | Approximation Artificial Intelligence Complex Systems Computational Intelligence Control Engineering Fuzzy sets Information systems Mathematical analysis Mechatronics Neighborhoods Operators Original Article Pattern Recognition Robotics Rough set models Set theory Systems Biology Universe |
| title | Fuzzy rough set models over two universes |
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