Covering Numbers in Covering-Based Rough Sets

被引：0
|
作者：
Wang, Shiping [2 ]
Min, Fan [1 ]
Zhu, William [1 ,2 ]
机构：
[1] Zhangzhou Normal Univ, Lab Granular Comp, Zhangzhou 363000, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
ROUGH SETS, FUZZY SETS, DATA MINING AND GRANULAR COMPUTING, RSFDGRC 2011 | 2011年 / 6743卷
关键词：
Rough set; Covering; Measurement; Quantitative; Distance; Covering number; Lattice; BINARY RELATION; REDUCTION;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Rough set theory provides a systematic way for rule extraction, attribute reduction and knowledge classification in information systems. Some measurements are important in rough sets. For example, information entropy, knowledge dependency are useful in attribute reduction algorithms. This paper proposes the concepts of the lower and upper covering numbers to establish measurements in covering-based rough sets which are generalizations of rough sets. With covering numbers, we establish a distance structure, two semilattices and a lattice for covering-based rough sets. The new concepts are helpful in studying covering-based rough sets from topological and algebraical viewpoints.
引用
收藏
页码：72 / 78
页数：7
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