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Approaches to Multiple Attribute Group Decision Making Under Intuitionistic Fuzzy Settings: Application of Dempster–Shafer Theory of Evidence

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Abstract

This paper studies the multiple attribute group decision-making problems in intuitionistic fuzzy settings and interval-valued intuitionistic fuzzy settings based on Dempster–Shafer theory and information entropy. First, the degrees of uncertainty of parameters are derived from the information entropy by which new kinds of Mass functions of the different parameters are constructed. The concept of degree of the conflict of evidence is proposed. Second, the weighted combination rule of Dempster–Shafer evidence is firstly introduced to fuse the experts’ Mass functions into a collective one. Finally, two examples under intuitionistic fuzzy settings and interval-valued intuitionistic fuzzy settings are presented to demonstrate the effectiveness and applicability of the proposed approach. By the way, from the two examples, we illustrate that the multiple attribute group decision making is superior and more reliable than the decision making conducted by only one decision maker.

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Acknowledgements

This research is supported by Program for The Education Department of Liaoning Province of China (Grant No. L201615).

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  1. School of Science, Dalian Ocean University, Dalian, 116023, China

    Lishi Zhang

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Zhang, L. Approaches to Multiple Attribute Group Decision Making Under Intuitionistic Fuzzy Settings: Application of Dempster–Shafer Theory of Evidence. Arab J Sci Eng 44, 3719–3732 (2019). https://doi.org/10.1007/s13369-018-3657-5

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