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A consensus model for group decision making under trapezoidal fuzzy numbers environment

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Abstract

Natural linguistic terms can preferably express the opinions of decision makers in complicated decision environment. Group decision making with multiplicative trapezoidal fuzzy preference relations transforming from natural linguistic terms attracts the attention of researchers for its important research significant. The developed approach is based on consensus improving process by using a new similarity measure and a trapezoidal fuzzy power ordered weighted geometric averaging (TFPOWGA) operator. In order to introduce this approach, firstly, trapezoidal fuzzy power geometric averaging operator and TFPOWGA operator are presented to aggregate trapezoidal fuzzy numbers (TFNs). Secondly, a new similarity measure for TFNs is introduced by combining centroids and areas of TFNs. We further propose a new consensus improving algorithm that consists of consensus measure and a dynamic feedback mechanism containing a multi-objective optimization model and some indirect rules. And then a selection stage is described to rank the alternatives. At last, an example is implemented to demonstrate effectiveness of the approach.

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Acknowledgements

The authors would like to thank the editor and the anonymous referees for their valuable comments and suggestions for improving the paper. The work was supported by National Natural Science Foundation of China (Nos. 71301001, 71371011, 71501002, 71272047), Project of Anhui Province for Excellent Young Talents, the Doctoral Scientific Research Foundation of Anhui University, and Scientific Research and Training Program of Anhui University (No. KYXL2016006), Innovation and Training Program of Anhui University (Nos. 201610357119, 201610357347, 201610357348, 201610357349, 201610357083), and Support and Strengthening Program of Academic Innovation Research for Graduate student of Anhui University.

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China

    Peng Wu, Qun Wu, Ligang Zhou, Huayou Chen & Han Zhou

  2. China Institute of Manufacturing Development, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Ligang Zhou

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  1. Peng Wu
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Correspondence to Ligang Zhou.

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The authors declared that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.

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Wu, P., Wu, Q., Zhou, L. et al. A consensus model for group decision making under trapezoidal fuzzy numbers environment. Neural Comput & Applic 31, 377–394 (2019). https://doi.org/10.1007/s00521-017-3055-z

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