In this paper, we define covering-based rough membership function for the tenth type of covering-based rough sets which was examined by Tsang et al. and obtain some properties about the rough membership function which bases on as well as characterize the covering-based rough set approximation operators from the viewpoint of numerical values. An example in evidence-based medicine are proposed to illustrate the practical application backgrounds of Pawlak’s rough membership function in real life. By this example, we can show that this covering-based rough membership function is more realistic than Pawlak’s rough membership function in applications of real life.
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