Covering-Based Rough Sets on Eulerian Matroids
Joint Authors
Zhu, William
Yang, Bin
Lin, Ziqiong
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Rough set theory is an efficient and essential tool for dealing with vagueness and granularity in information systems.
Covering-based rough set theory is proposed as a significant generalization of classical rough sets.
Matroid theory is a vital structure with high applicability and borrows extensively from linear algebra and graph theory.
In this paper, one type of covering-based approximations is studied from the viewpoint of Eulerian matroids.
First, we explore the circuits of an Eulerian matroid from the perspective of coverings.
Second, this type of covering-based approximations is represented by the circuits of Eulerian matroids.
Moreover, the conditions under which the covering-based upper approximation operator is the closure operator of a matroid are presented.
Finally, a matroidal structure of covering-based rough sets is constructed.
These results show many potential connections between covering-based rough sets and matroids.
American Psychological Association (APA)
Yang, Bin& Lin, Ziqiong& Zhu, William. 2013. Covering-Based Rough Sets on Eulerian Matroids. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-457796
Modern Language Association (MLA)
Yang, Bin…[et al.]. Covering-Based Rough Sets on Eulerian Matroids. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-457796
American Medical Association (AMA)
Yang, Bin& Lin, Ziqiong& Zhu, William. Covering-Based Rough Sets on Eulerian Matroids. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-457796
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457796