NDLI: Matroidal structure of generalized rough sets based on symmetric and transitive relations

Content Provider	IEEE Xplore Digital Library
Author	Bin Yang Zhu, W.
Copyright Year	2013
Description	Author affiliation: Lab. of Granular Comput., Zhangzhou Normal Univ., Zhangzhou, China (Bin Yang; Zhu, W.)
Abstract	Rough set theory is an effective tool for dealing with vagueness or uncertainty in information systems. It is efficient for data pre-process and widely used in attribute reduction in data mining. Matroid theory is a branch of combinatorial mathematics and borrows extensively from linear algebra and graph theory, so it is an important mathematical structure with high applicability. Moreover, matroids have been applied to diverse fields such as algorithm design, combinatorial optimization and integer programming. Therefore, the establishment of matroidal structures of general rough sets may be much helpful for some problems such as attribute reduction in information systems. This paper studies generalized rough sets based on symmetric and transitive relations from the operator-oriented view by matroidal approaches. We firstly construct a matroidal structure of generalized rough sets based on symmetric and transitive relations, and provide an approach to study the matroid induced by a symmetric and transitive relation. Secondly, this paper establishes a close relationship between matroids and generalized rough sets. Approximation quality and roughness of generalized rough sets can be computed by the circuit of matroid theory. At last, a symmetric and transitive relation can be constructed by a matroid with some special properties.
Starting Page	1
Ending Page	5
File Size	220740
Page Count	5
File Format	PDF
ISBN	9781479900312
ISSN	08407789
e-ISBN	9781479900336
e-ISBN	9781479900329
DOI	10.1109/CCECE.2013.6567815
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-05
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Rough sets Approximation methods Linear algebra Graph theory Algorithm design and analysis upper and lower approximations Generalized rough sets matroid circuit union of matroids
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Hardware and Architecture

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