The covering rough set model is viewed as a generalization of the rough set model. The covering rough set is built on a universe of discourse. A similar idea can be applied into three-way decisions theory to obtain covering-based three-way decisions which is the main object of this study. This paper firstly provides a summary of study on the three-way decisions based on covering rough set by applying the approach of decision-theoretic rough set. Then, the Bayesian decision procedure theory is implemented to covering decision systems.
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