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

  • Fuyuan XiaoEmail author


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.


Multiple-criteria decision-making D numbers Belief entropy Distance function 



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).

Compliance with Ethical Standards

Conflict of interest

Author F. Xiao declares that she has no conflict of interest.


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Copyright information

© Taiwan Fuzzy Systems Association 2019

Authors and Affiliations

  1. 1.School of Computer and Information ScienceSouthwest UniversityChongqingChina

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