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A consistency and consensus-driven approach for granulating linguistic information in GDM with distributed linguistic preference relations

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Abstract

This study considers the linguistic information granulation in GDM scenarios where both the outcomes of pairwise comparisons coming from decision makers (DMs) over alternatives and the relative importance of DMs are recalled by way of DLPRs. First, with the use of multiplicative consistency criterion, an information granulation model is proposed for achieving the operational realization of the linguistic information related to the DMs’ relative importance. Then, based on the expert weight derived from the results of the aforesaid model, a new performance index based on the multiplicative linear combination of consistency and consensus is defined and used to develop another information granulation model for the operational realization of linguistic information associated with the DMs’ preference over alternatives. Finally, the PSO approach to solve the two linguistic information granulation models is introduced, followed by the presentation of the framework of the proposed linguistic information granulation approach to address such GDM with DLPRs. A case study regarding commercial vehicle selection problem demonstrates how the proposals are applied in practical decision scenarios. Under an aeroengine risk assessment problem comparing with two linguistic quantization models shows the advantage of the proposals. Overall, the contributions of this study lie in two aspects: the development of two linguistic information granulation models, and the presentation of the framework of the linguistic information granulation approach to solve such GDM with DLPRs.

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Acknowledgements

The authors would like to thank the four anonymous referees for their valuable comments and suggestions. This research was supported by the National Natural Science Foundation of China (Nos. 72171069, 72101075, 62076182, 62202001, and 72101078), the Natural Science Foundation of Anhui Province of China (No. 2108085QG289), and the Fundamental Research Funds for the Central Universities (Nos. JZ2020HGQA0168 and PA2021KCPY0030).

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Authors and Affiliations

  1. School of Management Science & Engineering, Anhui University of Finance & Economics, Bengbu, People’s Republic of China

    Han Su

  2. School of Management, Hefei University of Technology, Hefei, Box 270, Hefei, 230009, Anhui, People’s Republic of China

    Qi Wu, Xiaoan Tang & Ting Huang

  3. Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, Box 270, Hefei, 230009, Anhui, People’s Republic of China

    Qi Wu, Xiaoan Tang & Ting Huang

  4. Ministry of Education Engineering Research Center for Intelligent Decision-Making & Information System Technologies, Hefei, 230009, Anhui, People’s Republic of China

    Qi Wu, Xiaoan Tang & Ting Huang

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  1. Han Su
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Correspondence to Ting Huang.

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Su, H., Wu, Q., Tang, X. et al. A consistency and consensus-driven approach for granulating linguistic information in GDM with distributed linguistic preference relations. Artif Intell Rev 56, 6627–6659 (2023). https://doi.org/10.1007/s10462-022-10344-9

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