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A Modified D Numbers’ Integration for Multiple Attributes Decision Making

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Abstract

For multiple attributes decision making, D numbers theory has been widely used to deal with uncertain and incomplete information. However, the incomplete information is abandoned in the D numbers’ integration representation. This results in unreasonable conclusions in some real-world applications. To overcome this drawback, this paper proposes an improved D numbers’ integration representation method, by effectively allocating the incomplete information into decision making according to the original value of D numbers. The proposed method is applied to assess the performance of different types of motorcycles. The results show that the proposed method can effectively increase both the accuracy and efficiency of assessment when compared with the original D numbers theory.

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Acknowledgements

The authors gratefully acknowledge financial support from China Scholarship Council. The work is partially supported by National Natural Science Foundation of China (Grant Nos. 61364030 and 11365008), National Natural Science Foundation of Hubei province (Grant No. 2014CFB608), Educational Commission of Hubei Province of China (Grant No.D20151902) and the Doctoral Scientific Research Foundation of Hubei University for Nationalities (Grant No. MY2014b003).

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Authors and Affiliations

  1. School of Science, Hubei University for Nationalities, Enshi, 445000, Hubei, China

    Ningkui Wang, Xianming Liu & Daijun Wei

  2. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Xianming Liu

  3. Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, TN, 37235, USA

    Daijun Wei

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  1. Ningkui Wang
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  2. Xianming Liu
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Correspondence to Daijun Wei.

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Wang, N., Liu, X. & Wei, D. A Modified D Numbers’ Integration for Multiple Attributes Decision Making. Int. J. Fuzzy Syst. 20, 104–115 (2018). https://doi.org/10.1007/s40815-017-0323-0

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