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A comprehensive group decision-making method with interval-valued intuitionistic fuzzy preference relations

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Abstract

This paper investigates the group decision making (GDM) with interval-valued intuitionistic fuzzy (IVIF) preference relations (IVIFPRs). Considering decision maker’s (DM’s) risk attitude, the new score and accuracy functions for an IVIF value (IVIFV) are defined and a new order relation is proposed to rank IVIFVs. By transforming an IVIFPR into the direct and indirect IFPRs, a new additive consistency of IVIFPR is defined considering the uncertainty and ambiguity. Combining the direct IFPRs and the indirect IFPRs extracted from the IVIFPR, an algorithm is designed to determine the comprehensive IVIF priority weights of IVIFPR. For GDM with IVIFPRs, a multi-objective programming model is constructed to derive DMs’ weights by combining TOPSIS and cross entropy, which is solved by Lagrange function method. Based on the determination of DMs’ weights, the determination of priority weights and the new order relation of IVIFVs, a comprehensive method is proposed for GDM with IVIFPRs. Finally, a ventilation system selection example is analyzed to verify the effectiveness of the proposed method.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Nos. 71740021 and 11861034), “Thirteen five” Programming Project of Jiangxi province Social Science (No. 18GL13), the Humanities Social Science Programming Project of Ministry of Education of China (Nos. 20YJC630139 and 20YJA630059), Foshan Social Science Programming Project (Nos. 2020-QN25), the Natural Science Foundation of Jiangxi Province of China (No. 20192BAB207012), and the Science and Technology Project of Jiangxi province educational department of China (No. GJJ190251).

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Authors and Affiliations

  1. School of Business Administration, Guangdong University of Finance and Economics, Guangzhou, 510320, China

    Feng Wang

  2. School of Information Management, Jiangxi University of Finance and Economics, Nanchang, 330013, China

    Shuping Wan

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  1. Feng Wang
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  2. Shuping Wan
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Correspondence to Feng Wang.

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Communicated by V. Loia.

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Wang, F., Wan, S. A comprehensive group decision-making method with interval-valued intuitionistic fuzzy preference relations. Soft Comput 25, 343–362 (2021). https://doi.org/10.1007/s00500-020-05145-7

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