A Multiple-Criteria Decision-Making Method Based on D Numbers and Belief Entropy
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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.
KeywordsMultiple-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).
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Conflict of interest
Author F. Xiao declares that she has no conflict of interest.
- 28.Deng, Y.: D numbers: Theory and applications. J. Inf. Comput. Sci. 9(9), 2421–2421 (2012)Google Scholar
- 32.Rikhtegar, N., Mansouri, N., Ahadi Oroumieh, A., Yazdani-Chamzini, A., Kazimieras Zavadskas, E., Kildienė, S.: Environmental impact assessment based on group decision-making methods in mining projects. Econ. Res./Ekon. Istraž. 27(1), 378–392 (2014)Google Scholar
- 34.Xiao, F.: An intelligent complex event processing with D numbers under fuzzy environment. Math. Probl. Eng. 2016, 1–10 (2016)Google Scholar
- 36.Khechadoorian, V., Osanloo, M.: Mined land use selection using a modified version of TOPSIS method, that can handle uncertainty, by accepting inputs as D numbers. In: Proceedings of the Beijing International Symposium Land Reclamation and Ecological Restoration, pp. 625–633 (2014)Google Scholar
- 41.Shafer, G.: A mathematical theory of evidence. Technometrics 20(1), 242 (1978)Google Scholar