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A Multiple-Criteria Decision-Making Method Based on D Numbers and Belief Entropy

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Abstract

Multiple-criteria decision-making (MCDM) is an important branch of operations research which judges multiple criteria under decision-making environments. In the process of handling MCDM problems, because of the subjective judgment of human beings, it unavoidably involves a variety of uncertainties, like imprecision, fuzziness and incompleteness. The D numbers, as a reliable and effective expression of uncertain information, has a good performance to handle these types of uncertainties. However, there still are some spaces to be further researched. Therefore, a novel belief entropy-based method with regard to D numbers is proposed for MCDM problems. Finally, an application in the MCDM problem is illustrated to reveal the efficiency of the proposed method.

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Acknowledgements

The author greatly appreciates the reviews’ suggestions and the editor’s encouragement. This research is supported by the Chongqing Overseas Scholars Innovation Program (No. cx2018077).

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  1. School of Computer and Information Science, Southwest University, No. 2 Tiansheng Road, BeiBei District, Chongqing, 400715, China

    Fuyuan Xiao

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Xiao, F. A Multiple-Criteria Decision-Making Method Based on D Numbers and Belief Entropy. Int. J. Fuzzy Syst. 21, 1144–1153 (2019). https://doi.org/10.1007/s40815-019-00620-2

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