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Reduction and Axiomization of Covering Generalized Rough Sets
William Zhu; Fei-Yue Wang
Source PublicationInformation Sciences
2003
Volume152Issue:-Pages:217-230
Abstract
This paper investigates some basic properties of covering generalized rough sets, and
their comparison with the corresponding ones of Pawlaks 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.
KeywordComputing With Words Covering Covering Lower And Upper Approximations Fuzzy Sets Reduct Rough Sets
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/14571
Collection09年以前成果
Corresponding AuthorFei-Yue Wang
Recommended Citation
GB/T 7714
William Zhu,Fei-Yue Wang. Reduction and Axiomization of Covering Generalized Rough Sets[J]. Information Sciences,2003,152(-):217-230.
APA William Zhu,&Fei-Yue Wang.(2003).Reduction and Axiomization of Covering Generalized Rough Sets.Information Sciences,152(-),217-230.
MLA William Zhu,et al."Reduction and Axiomization of Covering Generalized Rough Sets".Information Sciences 152.-(2003):217-230.
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