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A new approach to fuzzy group decision making with trapezoidal fuzzy preference relations by using compatibility measure

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Abstract

This paper aims to develop a new approach to deal with fuzzy group decision making (GDM) with additive trapezoidal fuzzy preference relations (ATFPRs) by using compatibility measure. We firstly present some concepts of compatibility index and expected preference relation (PR) for ATFPR and then propose a compatibility improving algorithm to help each individual PR achieve acceptable compatibility . Moreover, a least deviation model is provided to obtain the priority vector. Besides, based on the criterion of minimizing the compatibility index, we put forward an optimal model to determine the weights of experts in GDM. Finally, the GDM process with compatibility of ATFPRs is presented, and an illustrative example is utilized to verify the developed approach . The main features of our approach are that: (1) It guarantees that each individual ATFPR is acceptably compatible by using compatibility improving algorithm. (2) It ensures that experts’ weights in group aggregation are determined objectively by optimal model.

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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, Anhui Provincial Natural Science Foundation (No. 1508085QG149), Provincial Natural Science Research Project of Anhui Colleges (No. KJ2015A379), and The Scientific Research and Development Foundation of Hefei University (No. 12KY02ZD), Scientific Research and Traning 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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  1. School of Mathematical Sciences, Anhui University, Hefei, Anhui, 230601, China

    Yuanyuan Zhou, Jiaming Zhu, Ligang Zhou, Huayou Chen & Tong Zheng

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  1. Yuanyuan Zhou
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  2. Jiaming Zhu
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  3. Ligang Zhou
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Correspondence to Ligang Zhou.

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Zhou, Y., Zhu, J., Zhou, L. et al. A new approach to fuzzy group decision making with trapezoidal fuzzy preference relations by using compatibility measure. Neural Comput & Applic 29, 1187–1203 (2018). https://doi.org/10.1007/s00521-016-2627-7

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