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Recently, an interesting and natural research topic is to study rough set theory via matroid theory. We can introduce matroidal approaches to rough set theory and rough set methods to matroid theory which have deepened theoretical and practical significance of these two theories. In this paper, we present a systematical study on some matroidal structures of generalized rough sets based on relations...
The study of definable sets in various generalized rough set models would provide better understanding to these models. Some algebraic structures of all definable sets have been investigated, and the relationships among the definable sets, the inner definable sets and the outer definable sets have been presented. In this paper, we further study the definable sets in three types of covering-based rough...
Rough set theory is a useful tool to deal with uncertain, granular and incomplete knowledge in information systems. And it is based on equivalence relations or partitions. Matroid theory is a structure that generalizes linear independence in vector spaces, and has a variety of applications in many fields. In this paper, we propose a new type of matroids, namely, partition-circuit matroids, which are...
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