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A Minimum Trust Discount Coefficient Model for Incomplete Information in Group Decision Making with Intuitionistic Fuzzy Soft Set

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Abstract

This article proposes a framework to deal with incomplete information in multiple criteria group decision making with intuitionistic fuzzy soft set. To do that, the weighted sum method for choice values and simple mathematical expectation method are extended to the case of obtained fuzzy soft set, and they are proved to have the same result in estimating the incomplete information. In order to reduce the system error in the estimating process cause by multiple decision information, a minimum trust discount coefficient model is established according to the relevant methods of evidence theory. Then, a new definition of entropy for intuitionistic fuzzy sets is introduced to determine the weights of group experts. Therefore, individual decision-making matrices are integrated into a comprehensive decision-making matrix by the integration operation formula of intuitionistic fuzzy soft matrix. The decision making is realized according to the difference of the score values of objects. Finally, the steps of this method are concluded, and one example is given to explain the application of this method.

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Acknowledgements

This work is supported by the Natural Science Foundation of China (Nos. 51105135, 71571166, 71971135) and Sanming University Introduction of High-level Talent Scientific Research Start-up Project (No. 19YG01).

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Authors and Affiliations

  1. School of Information Engineering, Sanming University, Sanming, 365004, China

    Xiao-guo Chen, Gao-feng Yu & Yue Yang

  2. School of Economic and Management, Sanming University, Sanming, 365004, China

    Jian Wu

  3. School of Economics and Management, Shanghai Maritime University, Shanghai, 201306, China

    Jian Wu

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  1. Xiao-guo Chen
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  2. Gao-feng Yu
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  3. Jian Wu
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  4. Yue Yang
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Correspondence to Jian Wu.

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Chen, Xg., Yu, Gf., Wu, J. et al. A Minimum Trust Discount Coefficient Model for Incomplete Information in Group Decision Making with Intuitionistic Fuzzy Soft Set. Int. J. Fuzzy Syst. 22, 2025–2040 (2020). https://doi.org/10.1007/s40815-020-00811-2

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