Reduction of Neighborhood-Based Generalized Rough Sets
Joint Authors
Ding, Xiuyong
Wang, Zhaohao
Shu, Lan
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-24
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Rough set theory is a powerful tool for dealing with uncertainty, granularity, and incompleteness of knowledge in information systems.
This paper discusses five types of existing neighborhood-based generalized rough sets.
The concepts of minimal neighborhood description and maximal neighborhood description of an element are defined, and by means of the two concepts, the properties and structures of the third and the fourth types of neighborhood-based rough sets are deeply explored.
Furthermore, we systematically study the covering reduction of the third and the fourth types of neighborhood-based rough sets in terms of the two concepts.
Finally, two open problems proposed by Yun et al.
(2011) are solved.
American Psychological Association (APA)
Wang, Zhaohao& Shu, Lan& Ding, Xiuyong. 2011. Reduction of Neighborhood-Based Generalized Rough Sets. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-469854
Modern Language Association (MLA)
Wang, Zhaohao…[et al.]. Reduction of Neighborhood-Based Generalized Rough Sets. Journal of Applied Mathematics No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-469854
American Medical Association (AMA)
Wang, Zhaohao& Shu, Lan& Ding, Xiuyong. Reduction of Neighborhood-Based Generalized Rough Sets. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-469854
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469854