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On three types of covering-based rough sets
Zhu, William; Wang, Fei-Yue
Source PublicationIEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING
2007-08-01
Volume19Issue:8Pages:1131-1144
SubtypeArticle
AbstractRough set theory is a useful tool for data mining. It is based on equivalence relations and has been extended to covering-based generalized rough set. This paper studies three kinds of covering generalized rough sets for dealing with the vagueness and granularity in information systems. First, we examine the properties of approximation operations generated by a covering in comparison with those of the Pawlak's rough sets. Then, we propose concepts and conditions for two coverings to generate an identical lower approximation operation and an identical upper approximation operation. After the discussion on the interdependency of covering lower and upper approximation operations, we address the axiomization issue of covering lower and upper approximation operations. In addition, we study the relationships between the covering lower approximation and the interior operator and also the relationships between the covering upper approximation and the closure operator. Finally, this paper explores the relationships among these three types of covering rough sets.
KeywordRough Sets Approximation Covering Data Mining Reduct Fuzzy Sets Granular Computing Computing With Words
WOS HeadingsScience & Technology ; Technology
WOS KeywordFUZZY-SETS ; ALGORITHM ; PROTEIN
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000248223300010
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9444
Collection09年以前成果
Corresponding AuthorZhu, William
Affiliation1.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
2.Univ Auckland, Dept Comp Sci, Auckland 1, New Zealand
3.Univ Arizona, Dept Syst & Ind Engn, Tucson, AZ 85721 USA
Recommended Citation
GB/T 7714
Zhu, William,Wang, Fei-Yue. On three types of covering-based rough sets[J]. IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING,2007,19(8):1131-1144.
APA Zhu, William,&Wang, Fei-Yue.(2007).On three types of covering-based rough sets.IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING,19(8),1131-1144.
MLA Zhu, William,et al."On three types of covering-based rough sets".IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING 19.8(2007):1131-1144.
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