Journal
APPLIED SOFT COMPUTING
Volume 136, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.asoc.2023.110144
Keywords
Three-way decision; Fuzzy probabilistic rough set; Fuzzy covering; Fuzzy neighborhood operator; Bayesian decision procedure
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As a generalization of equivalent class, fuzzy covering makes descriptions of the objective world more realistic, practical and accurate in some cases. In this paper, we establish four kinds of fuzzy probabilistic covering-based rough set, which combine the fuzzy covering-based neighborhood operator and the fuzzy probabilistic rough set, and then obtain the result of their three-way decision.
Asa generalization of equivalent class, fuzzy covering makes descriptions of the objective world more realistic, practical and accurate in some cases. In this paper, we establish four kinds of fuzzy probabilistic covering-based rough set, which combine the fuzzy covering-based neighborhood operator and the fuzzy probabilistic rough set, and then obtain the result of their three-way decision. The differences among the above models lie in the selection of thresholds, which further leads to different classification results. In addition, in order to interpret the thresholds rationally under different models, Bayesian decision procedure is adopted to construct the fuzzy probabilistic covering-based upper and lower approximation operators. Finally, a numerical example of the credit evaluation is applied to illustrate the validity of the proposed model. (c) 2023 Elsevier B.V. All rights reserved.
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