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Information Journal Paper

Title

Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions over two universes

Pages

  61-76

Abstract

 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.

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    APA: Copy

    MANDAL, P., & Ranadive, A.S.. (2019). Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions over two universes. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(5 ), 61-76. SID. https://sid.ir/paper/113420/en

    Vancouver: Copy

    MANDAL P., Ranadive A.S.. Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions over two universes. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(5 ):61-76. Available from: https://sid.ir/paper/113420/en

    IEEE: Copy

    P. MANDAL, and A.S. Ranadive, “Multi-granulation fuzzy probabilistic rough sets and their corresponding three-way decisions over two universes,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 5 , pp. 61–76, 2019, [Online]. Available: https://sid.ir/paper/113420/en

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