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A fuzzy group decision making model with trapezoidal fuzzy preference relations based on compatibility measure and COWGA operator

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Abstract

This paper proposes a fuzzy group decision-making model based on a logarithm compatibility measure with multiplicative trapezoidal fuzzy preference relations (MTFPRs) based on a continuous ordered weighted geometric averaging (COWGA) operator. New concepts are presented to measure deviation between MTFPR and its expected fuzzy preference relation. Then, an iterative algorithm is developed to help individual MTFPR reach acceptable compatibility. To determine the weights of decision makers, an optimal model is constructed using group logarithm compatibility index COWGA operator. Finally, we illustrate an example to show how it works and compare it with the existing methods. The main advantages of the proposed approach are the following: (1) The COWGA operator makes decision making more flexible; (2) an iterative and convergent algorithm is proposed to improve the compatibility of MTFPR; (3) decision makers’ weights in group decision making are determined by an optimal model based on a logarithm compatibility measure.

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Acknowledgments

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, Anhui Provincial Natural Science Foundation (No.1508085QG149), Provincial Natural Science Research Project of Anhui Colleges (No.KJ2015A379), and Anhui Provincial Philosophy and Social Science Planning Youth Foundation (No. AHSKQ2016D13).

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Authors and Affiliations

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

    Peng Wu, Ligang Zhou & Huayou Chen

  2. School of Business, Anhui University, Hefei, Anhui, 230601, China

    Shuhan Liu

  3. 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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  2. Shuhan Liu
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  3. Ligang Zhou
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Correspondence to Ligang Zhou.

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Wu, P., Liu, S., Zhou, L. et al. A fuzzy group decision making model with trapezoidal fuzzy preference relations based on compatibility measure and COWGA operator. Appl Intell 48, 46–67 (2018). https://doi.org/10.1007/s10489-017-0960-x

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