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Covering-Based Rough Sets on Eulerian Matroids
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| Zeitschriftentitel: | Journal of Applied Mathematics |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Journal of Applied Mathematics, 2013, 2013, S. 1-8 |
| Format: | E-Article |
| Sprache: | Englisch |
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Hindawi Limited
|
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| author_facet |
Yang, Bin Lin, Ziqiong Zhu, William Yang, Bin Lin, Ziqiong Zhu, William |
|---|---|
| author |
Yang, Bin Lin, Ziqiong Zhu, William |
| spellingShingle |
Yang, Bin Lin, Ziqiong Zhu, William Journal of Applied Mathematics Covering-Based Rough Sets on Eulerian Matroids Applied Mathematics |
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yang, bin |
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Yang, Bin Lin, Ziqiong Zhu, William 1110-757X 1687-0042 Hindawi Limited Applied Mathematics http://dx.doi.org/10.1155/2013/254797 <jats:p>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.</jats:p> Covering-Based Rough Sets on Eulerian Matroids Journal of Applied Mathematics |
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| title |
Covering-Based Rough Sets on Eulerian Matroids |
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Covering-Based Rough Sets on Eulerian Matroids |
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Covering-Based Rough Sets on Eulerian Matroids |
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Covering-Based Rough Sets on Eulerian Matroids |
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Covering-Based Rough Sets on Eulerian Matroids |
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Covering-Based Rough Sets on Eulerian Matroids |
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covering-based rough sets on eulerian matroids |
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Applied Mathematics |
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http://dx.doi.org/10.1155/2013/254797 |
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2013 |
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1-8 |
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<jats:p>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.</jats:p> |
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| author | Yang, Bin, Lin, Ziqiong, Zhu, William |
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| container_title | Journal of Applied Mathematics |
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| description | <jats:p>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.</jats:p> |
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| spelling | Yang, Bin Lin, Ziqiong Zhu, William 1110-757X 1687-0042 Hindawi Limited Applied Mathematics http://dx.doi.org/10.1155/2013/254797 <jats:p>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.</jats:p> Covering-Based Rough Sets on Eulerian Matroids Journal of Applied Mathematics |
| spellingShingle | Yang, Bin, Lin, Ziqiong, Zhu, William, Journal of Applied Mathematics, Covering-Based Rough Sets on Eulerian Matroids, Applied Mathematics |
| title | Covering-Based Rough Sets on Eulerian Matroids |
| title_full | Covering-Based Rough Sets on Eulerian Matroids |
| title_fullStr | Covering-Based Rough Sets on Eulerian Matroids |
| title_full_unstemmed | Covering-Based Rough Sets on Eulerian Matroids |
| title_short | Covering-Based Rough Sets on Eulerian Matroids |
| title_sort | covering-based rough sets on eulerian matroids |
| title_unstemmed | Covering-Based Rough Sets on Eulerian Matroids |
| topic | Applied Mathematics |
| url | http://dx.doi.org/10.1155/2013/254797 |