Knowledge Commons of Institute of Automation,CAS
Binary relation based rough sets | |
Zhu, William; Wang, Fei-Yue; Wang, L; Jiao, L; Shi, G; Li, X; Liu, J | |
发表期刊 | FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PROCEEDINGS |
2006 | |
卷号 | 4223页码:276-285 |
文章类型 | Article |
摘要 | 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. |
关键词 | Rough Set Lower Approximation Upper Approximation Binary Relation Fuzzy Set Granular Computing |
WOS标题词 | Science & Technology ; Technology |
关键词[WOS] | INCOMPLETE INFORMATION-SYSTEMS ; APPROXIMATION OPERATORS ; FUZZY-SETS ; REDUCTION ; SEMANTICS ; LOGIC |
收录类别 | ISTP ; SCI |
语种 | 英语 |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Artificial Intelligence |
WOS记录号 | WOS:000241106000031 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/9250 |
专题 | 09年以前成果 |
作者单位 | 1.Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligent Sci, Beijing 100080, Peoples R China 2.Univ Auckland, Dept Comp Sci, Auckland 1, New Zealand 3.Jiangxi Normal Univ, Comp Informat Engn Coll, Nanchang, Peoples R China 4.Univ Arizona, Dept Syst & Ind Engn, Tucson, AZ 85721 USA |
推荐引用方式 GB/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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