Abstract
In order to solve the issue of three way decisions under set’s dynamic changing, we put forward a model of three way decisions model based on two-direction PS-probabilistic rough set by analyzing the theory and properties of two-direction PS-probabilistic rough set. Firstly, according to the upper and lower approximation of two-direction PS-probabilistic rough set, we deduce the boundary region, negative region and boundary region, explain the rules of three way decisions and analyze the properties of confidence coefficient and error rate. Then, we define decision metric function and decision loss function of three way decisions based on two-direction PS-probabilistic rough set, and infer the estimation method of the threshold value based on the minimum risk decision rules of Bayesian decision theory. Finally, the properties of this dynamic model are discussed; the example shows the correctness and feasibility of this model.
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Acknowledgements
This work is partially supported by the National Natural Science Foundation of China (Grant No. 61370168,61472340), Natural Science Foundation of Hebei Province (Grant No. F2016209344), Young Scientist Fund of North China University of Science and Technology (Grant No. Z201621). The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation.
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Zhang, C., Wang, L., Liu, B. (2017). Dynamic Three Way Decisions and Its Application Based on Two-Direction PS-Probabilistic Rough Set. 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_28
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DOI: https://doi.org/10.1007/978-3-319-60840-2_28
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