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Published in:
2011 | OriginalPaper | Chapter
Neighborhood Rough Sets Based Matrix Approach for Calculation of the Approximations
Authors : Junbo Zhang, Tianrui Li, Yan Yang, Lei Wang
Published in: Rough Sets and Knowledge Technology
Publisher: Springer Berlin Heidelberg
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Approximations of a concept in neighborhood rough sets (NRS) are used to induce rules and extract feature subset from hybrid information systems. To compute the approximations conveniently, this paper presents a new matrix view of NRS and the matrix representation of the lower and upper approximations in NRS. To be robust for tolerating the noisy samples in the data, a probabilistic neighborhood rough sets (PNRS) is proposed. According to the matrix view, a new method as well as its algorithm is presented for calculation of the lower and upper approximations under NRS and PNRS.