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Hesitant Fuzzy Multiattribute Matching Decision Making Based on Regret Theory with Uncertain Weights

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Abstract

An approach based on regret theory with hesitant fuzzy analysis is presented in a context of multiattribute matching decision making where the relative weights are uncertain. There are two steps being addressed in this approach. First, we put forward a maximizing differential model to determine the relative weights of hesitant fuzzy attributes, and calculate collective utilities of each attribute according to regret theory. The matching satisfaction degrees (MSDs) are then acquired by aggregating the collective utilities with relative weights. Secondly, an optimal matching model is programmed to generate the matching results based on the MSDs. This model belongs to a sort of multiobjective assignment problem and can be solved using the min–max method. A case study of matching outsourcing contractors and providers in Fuzhou National Hi-tech Zone is conducted to demonstrate the proposed approach and its potential applications.

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Acknowledgments

The authors would like to express their sincere thanks to anonymous referees and editors for their insightful and constructive comments, which have helped to improve the paper. This work was partly supported by the National Natural Science Foundation of China (NSFC) under Grant 71371053, and the Social Science Foundation of Fujian Province under FJ2015C111.

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Authors and Affiliations

  1. Decision Sciences Institute, Fuzhou University, Fuzhou, 350116, China

    Yang Lin & Ying-Ming Wang

  2. School of Economics, Fujian Normal University, Fuzhou, 350116, China

    Yang Lin

  3. School of Electronic Information Science, Fujianjiangxia University, Fuzhou, 350116, China

    Sheng-Qun Chen

Authors
  1. Yang Lin
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  2. Ying-Ming Wang
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  3. Sheng-Qun Chen
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Correspondence to Ying-Ming Wang.

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Lin, Y., Wang, YM. & Chen, SQ. Hesitant Fuzzy Multiattribute Matching Decision Making Based on Regret Theory with Uncertain Weights. Int. J. Fuzzy Syst. 19, 955–966 (2017). https://doi.org/10.1007/s40815-016-0213-x

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