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- W2950164694 abstract "Rough sets are efficient for data pre-process in data mining. Lower and upper approximations are two core concepts of rough sets. This paper studies generalized rough sets based on symmetric and transitive relations from the operator-oriented view by matroidal approaches. We firstly construct a matroidal structure of generalized rough sets based on symmetric and transitive relations, and provide an approach to study the matroid induced by a symmetric and transitive relation. Secondly, this paper establishes a close relationship between matroids and generalized rough sets. Approximation quality and roughness of generalized rough sets can be computed by the circuit of matroid theory. At last, a symmetric and transitive relation can be constructed by a matroid with some special properties." @default.
- W2950164694 created "2019-06-27" @default.
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- W2950164694 date "2012-09-24" @default.
- W2950164694 modified "2023-10-16" @default.
- W2950164694 title "Matroidal structure of generalized rough sets based on symmetric and transitive relations" @default.
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- W2950164694 doi "https://doi.org/10.48550/arxiv.1209.5470" @default.
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