Neighborhood rough sets based matrix approach for calculation of the approximations

Authors:
Junbo Zhang;Tianrui Li;Yan Yang;Lei Wang
Affiliations:
School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China;School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China;School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China;School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China
Venue:
RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Year:
2011

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Abstract

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.