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A Gower Plot-Based Approach to Ascertain and Adjust the Ordinal and Additive Inconsistencies for Fuzzy Linguistic Preference Relations

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Abstract

This paper studies the ordinal and additive consistency issues of fuzzy linguistic preference relations (FLPRs). First, a graphic method of Gower plot is proposed to ascertain ordinal and additive inconsistencies for FLPRs. Then, two optimization models are established to adjust the ordinal and additive inconsistencies at the same time. Furthermore, an approach based on Gower plot is developed to help the decision maker to improve the consistency and rank the alternatives which respects the views of decision makers with greatest degree. Finally, numerical examples and comparisons with the existing methods are furnished to show the effectiveness and advantages of the proposed method.

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Acknowledgements

This work was partly supported by the Key Project of National Natural Science Foundation of China (No. 71433003), the National Natural Science Foundation of China (NSFC) (No. 71471056), the Fundamental Research Funds for the Central Universities (No. 2015B23014), sponsored by Qing Lan Project of Jiangsu Province.

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Authors and Affiliations

  1. Business School, Hohai University, Nanjing, 211100, People’s Republic of China

    Yejun Xu, Dan Wu & Huimin Wang

  2. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing, 210098, People’s Republic of China

    Huimin Wang

Authors
  1. Yejun Xu
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  2. Dan Wu
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  3. Huimin Wang
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Correspondence to Huimin Wang.

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Xu, Y., Wu, D. & Wang, H. A Gower Plot-Based Approach to Ascertain and Adjust the Ordinal and Additive Inconsistencies for Fuzzy Linguistic Preference Relations. Int. J. Fuzzy Syst. 19, 2003–2019 (2017). https://doi.org/10.1007/s40815-017-0337-7

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