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Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions over two universes | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 16، شماره 5، آذر و دی 2019، صفحه 61-76 اصل مقاله (279.51 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4907 | ||
نویسندگان | ||
P. Mandal* 1؛ A. S. Ranadive2 | ||
1Bhalukdungri Jr. High School, Raigara, Purulia, W.B., 723153, India | ||
2Department of Pure and Applied Mathematics, Guru Ghasidas University, Bilaspur, C. G., India | ||
چکیده | ||
This article introduces a general framework of multi-granulation fuzzy probabilistic rough sets (MG-FPRSs) models in multi-granulation fuzzy probabilistic approximation space over two universes. Four types of MG-FPRSs are established, by the four different conditional probabilities of fuzzy event. For different constraints on parameters, we obtain four kinds of each type MG-FPRSs over two universes. To find a suitable way of explaining and determining these parameters in each kind of each type MG-FPRS, three-way decisions (3WDs) are studied based on Bayesian minimum-risk procedure, i.e., the decision-theoretic rough set (DTRS) approach. The main contribution of this paper is twofold. One is to extend the fuzzy probabilistic rough set (FPRS) to MG-FPRS model over two universes. Another is to present an approach to select parameters in MG-FPRS modeling by using the process of decision-making under conditions of risk. | ||
کلیدواژهها | ||
Rough set؛ fuzzy event؛ multi-granulation fuzzy probabilistic rough set؛ three-way decisions | ||
مراجع | ||
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