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This paper connects covering-based rough sets with matroids. Firstly, we defined the r-restrict uniform matroid to establish the matroidal structure of covering-based rough sets. Any subset of a universe can generate an r-restrict uniform matroid, therefore any covering of a universe can be characterized by a family of r-restrict uniform matroids. On the other hand, a family of r-restrict uniform...
Matroids were defined as abstract generation of graphs and matrices to try to capture abstractly essence of (in)dependence, it has wide application in electrical and computer science, mechanical engineering. Rough set theory is a new tool to deal with various types of data, covering-based rough set is a generalization of traditional rough set theory. This paper concerns the relationships between covering-based...
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