CASIA OpenIR  > 09年以前成果
 Binary relation based rough sets Zhu, William; Wang, Fei-Yue; Wang, L; Jiao, L; Shi, G; Li, X; Liu, J Source Publication FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PROCEEDINGS 2006 Volume 4223Pages:276-285 Subtype Article Abstract Rough set theory has been proposed by Pawlak as a tool for dealing with the vagueness and granularity in information systems. The core concepts of classical rough sets are lower and upper approximations based on equivalence relations. This paper studies arbitrary binary relation based generalized rough sets. In this setting, a binary relation can generate a lower approximation operation and an upper approximation operation. We prove that such a binary relation is unique, since two different binary relations will generate two different lower approximation operations and two different upper approximation operations. This paper also explores the relationships between the lower or upper approximation operation generated by the intersection of two binary relations and those generated by these two binary relations, respectively. Keyword Rough Set Lower Approximation Upper Approximation Binary Relation Fuzzy Set Granular Computing WOS Headings Science & Technology ; Technology WOS Keyword INCOMPLETE INFORMATION-SYSTEMS ; APPROXIMATION OPERATORS ; FUZZY-SETS ; REDUCTION ; SEMANTICS ; LOGIC Indexed By ISTP ; SCI Language 英语 WOS Research Area Computer Science WOS Subject Computer Science, Artificial Intelligence WOS ID WOS:000241106000031 Citation statistics Document Type 期刊论文 Identifier http://ir.ia.ac.cn/handle/173211/9250 Collection 09年以前成果 Affiliation 1.Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligent Sci, Beijing 100080, Peoples R China2.Univ Auckland, Dept Comp Sci, Auckland 1, New Zealand3.Jiangxi Normal Univ, Comp Informat Engn Coll, Nanchang, Peoples R China4.Univ Arizona, Dept Syst & Ind Engn, Tucson, AZ 85721 USA Recommended CitationGB/T 7714 Zhu, William,Wang, Fei-Yue,Wang, L,et al. Binary relation based rough sets[J]. FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PROCEEDINGS,2006,4223:276-285. APA Zhu, William.,Wang, Fei-Yue.,Wang, L.,Jiao, L.,Shi, G.,...&Liu, J.(2006).Binary relation based rough sets.FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PROCEEDINGS,4223,276-285. MLA Zhu, William,et al."Binary relation based rough sets".FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PROCEEDINGS 4223(2006):276-285.
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