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Covering-Based Rough Sets on Eulerian Matroids

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  • Bin Yang
  • Ziqiong Lin
  • William Zhu

Abstract

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.

Suggested Citation

  • Bin Yang & Ziqiong Lin & William Zhu, 2013. "Covering-Based Rough Sets on Eulerian Matroids," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnljam:254797
    DOI: 10.1155/2013/254797
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