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Article type: Research Article
Authors: Wang, Peia; b; c | Li, Qingguoa; *
Affiliations: [a] College of Mathematics and Econometrics, Hunan University, Changsha, Hunan province, P.R. China | [b] College of Mathematics and Information Science, Yulin Normal University, Yulin, Guangxi Province, P.R. China | [c] Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin normal University, P.R. China
Correspondence: [*] Corresponding author. Qingguo Li, College of Mathematics and Econometrics, Hunan University, Changsha, Hunan province, P.R. China. Tel.: +86 13707485601; E-mail: [email protected].
Abstract: 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 C10¯ 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.
Keywords: C10, covering-based rough set, fuzzy set, Rough membership function, numerical characterization
DOI: 10.3233/JIFS-151608
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 279-289, 2017
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