Decision-Theoretic rough sets with probabilistic distribution

Authors:
Dun Liu;Tianrui Li;Decui Liang
Affiliations:
School of Economics and Management, Southwest Jiaotong University, Chengdu, P.R. China;School of Information Science and Technology, Southwest Jiaotong University, Chengdu, P.R. China;School of Economics and Management, Southwest Jiaotong University, Chengdu, P.R. China
Venue:
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Year:
2012

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Abstract

In the previous decision-theoretic rough sets model (DTRS), its loss function values are precise. This paper extends the precise values of loss functions to a more realistic stochastic environment. Considering all loss functions in DTRS model obey a certain of probabilistic distribution, the extension of decision-theoretic rough set models under uniform distribution and normal distribution are proposed in this paper. An empirical study validates the reasonability and effectiveness of the proposed approach.