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Reduction and axiomization of covering generalized rough sets
Zhu, W; Wang, FY
AbstractThis paper investigates some basic properties of covering generalized rough sets, and their comparison with the corresponding ones of Pawlak's rough sets, a tool for data mining. The focus here is on the concepts and conditions for two coverings to generate the same covering lower approximation or the same covering upper approximation. The concept of reducts of coverings is introduced and the procedure to find a reduct for a covering is given. It has been proved that the reduct of a covering is the minimal covering that generates the same covering lower approximation or the same covering upper approximation, so this concept is also a technique to get rid of redundancy in data mining. Furthermore, it has been shown that covering lower and upper approximations determine each other. Finally, a set of axioms is constructed to characterize the covering lower approximation operation. (C) 2003 Elsevier Science Inc. All rights reserved.
KeywordComputing With Words Covering Covering Lower And Upper Approximations Fuzzy Sets Reduct Rough Sets
WOS HeadingsScience & Technology ; Technology
Indexed BySCI
WOS Research AreaComputer Science
WOS SubjectComputer Science, Information Systems
WOS IDWOS:000182691600014
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Cited Times:429[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Corresponding AuthorWang, FY
Affiliation1.Chinese Acad Sci, Lab Complex Syst & Intelligence Sci, Intelligent Control & Syst Engn Ctr, Beijing 100080, Peoples R China
2.Univ Arizona, Dept Syst & Ind Engn, Program Adv Res Complex Syst, Tucson, AZ 85721 USA
Recommended Citation
GB/T 7714
Zhu, W,Wang, FY. Reduction and axiomization of covering generalized rough sets[J]. INFORMATION SCIENCES,2003,152(0):217-230.
APA Zhu, W,&Wang, FY.(2003).Reduction and axiomization of covering generalized rough sets.INFORMATION SCIENCES,152(0),217-230.
MLA Zhu, W,et al."Reduction and axiomization of covering generalized rough sets".INFORMATION SCIENCES 152.0(2003):217-230.
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