Abstract
In this paper, we use an example in evidence-based medicine to illustrate the practical application backgrounds of Pawlak’s rough membership function in real life. By this example, we also point out the limitations of Pawlak’s rough membership function in real life applications and the necessity for constructing rough membership functions for covering-based rough sets. Then, we construct covering-based rough membership function for one type of covering-based rough sets which was examined by Bonikowski et al. (Inf Sci 107:149–167, 1998), and use it to characterize the covering-based rough set approximations numerically. We not only present theoretical backgrounds for this covering-based rough membership function, but also 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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Acknowledgment
This work is supported by the National Natural Science Foundation of China (nos. 11301367, 11501404, 61440047, 61562079), Jiangsu Province Natural Science Foundation (no. BK20140583), Natural Science Foundation of Guangxi (no. 2014GXNSFBA118015), Key Laboratory Program of Guangxi University (no. 2016CSOBDP0004), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.
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Ge, X., Tang, J., Wang, P. (2017). The Rough Membership Function on One Type of Covering-Based Rough Sets and Its Applications. 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_4
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DOI: https://doi.org/10.1007/978-3-319-60840-2_4
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