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  2019, Vol. 32 Issue (7): 600-606    DOI: 10.16451/j.cnki.issn1003-6059.201907003
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Stepped Approximation Method of Rough Sets
MA Zhouming1,2, ZHANG Haiyang1, CHEN Jinkun1,2, LI Jinjin1
1.School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000
2.Institute of Meteorological Big-Digital Fujian, Minnan Normal University, ZhangZhou 363000

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Abstract  

The definition of n-step boundary set is given based on rough approximation operator in boundary region. The definition of n-step rough approximation operator is introduced and a set of stepped approximation method of rough set theory is constructed. The examples and related proofs show that positive integers always exist in both binary relations and coverage environments, the n-step upper and lower approximation sets are exactly equal to the set of objects, and the object set is the exact set in this sense. Its n-step upper and lower approximation sets or approach a fixed set of objects. The n-step rough set can make an object set approach itself or a fixed set.
Key words： n-Step Rough Set      Exact Set      Approximation Operator      Boundary Region      Stepped Approximation Method     
Received: 15 May 2019     
ZTFLH: TP 18  
Fund:

Supported by National Natural Science Foundation of China(No.A011404,61573127,61672272,61603173,11701258), Natural Science Foundation of Fujian Province(No.2017J01507,2019J01748)
About author:: MA Zhouming(Corresponding author), Ph.D., associate professor. His research interests include uncertainty theory and its app-lication.ZHANG Haiyang, master student. His research inerests include uncertainty theory and its application.CHEN Jinkun, Ph.D. candidate, associate professor. His research interests include rough set and concept lattice.LI Jinjin, Ph.D., professor. His research interests include topology and concept la-ttice.
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MA Zhouming
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MA Zhouming,ZHANG Haiyang,CHEN Jinkun等. Stepped Approximation Method of Rough Sets[J]. , 2019, 32(7): 600-606.
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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.201907003      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2019/V32/I7/600
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