Abstract
Decision-theoretic rough set (DTRS) model, proposed by Yao in the early 1990’s, introduces Bayesian decision procedure and loss function in rough set theory. Considering utility function in decision processing, utility-based decision-theoretic rough set model (UDTRS) is given in this paper. The utility of the positive region, the boundary region and the negative region are obtained respectively. We provide a reduction definition which can obtain the maximal utility in decisions. A heuristic reduction algorithm with respect to the definition is proposed. Finally, experimental results show the proposed algorithm is effective.
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Acknowledgements
This work was partially supported by the National Natural Science Foundation of China (Nos. 61403329, 61572418, 61663002, 61502410, 61572419), the Natural Science Foundation of Shandong Province (No. ZR2013 FQ020).
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Zhang, N., Jiang, L., Liu, C. (2017). Attribute Reduction in Utility-Based Decision-Theoretic Rough Set Models. In: Polkowski, L., et al. Rough Sets. IJCRS 2017. Lecture Notes in Computer Science(), vol 10314. Springer, Cham. https://doi.org/10.1007/978-3-319-60840-2_27
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DOI: https://doi.org/10.1007/978-3-319-60840-2_27
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