Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/20965
Title: Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
Authors: Chen, D
Zhang, W
Yeung, D
Tsang, ECC
Keywords: Approximation operator
Complete completely distributive lattice
Cover
Rough set
Issue Date: 2006
Publisher: Elsevier
Source: Information sciences, 2006, v. 176, no. 13, p. 1829-1848 How to cite?
Journal: Information sciences 
Abstract: The generalizations of rough sets considered with respect to similarity relation, covers and fuzzy relations, are main research topics of rough set theory. However, these generalizations have shown less connection among each other and have not been brought into a unified framework, which has limited the in-depth research and application of rough set theory. In this paper the complete completely distributive (CCD) lattice is selected as the mathematical foundation on which definitions of lower and upper approximations that form the basic concepts of rough set theory are proposed. These definitions result from the concept of cover introduced on a CCD lattice and improve the approximations of the existing crisp generalizations of rough sets with respect to similarity relation and covers. When T-similarity relation is considered, the existing fuzzy rough sets are the special cases of our proposed approximations on a CCD lattice. Thus these generalizations of rough sets are brought into a unified framework, and a wider mathematical foundation for rough set theory is established.
URI: http://hdl.handle.net/10397/20965
ISSN: 0020-0255
EISSN: 1872-6291
DOI: 10.1016/j.ins.2005.05.009
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

141
Last Week
0
Last month
1
Citations as of Oct 11, 2017

WEB OF SCIENCETM
Citations

26
Last Week
0
Last month
0
Citations as of Oct 16, 2017

Page view(s)

40
Last Week
2
Last month
Checked on Oct 23, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.