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The Robust Cost Consensus Model with Interval-Valued Opinion and Uncertain Cost in Group Decision-Making

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Abstract

This paper studies the cost consensus model by considering the uncertain initial opinions and uncertain unit adjustment cost in group decision making. In the past consensus model based on optimization, the initial opinion and unit adjustment cost are usually assumed to be a crisp number for each expert. However, the speed of knowledge updating is often faster than people’s cognitive speed, it is difficult and impractical to ask experts to provide a clear initial opinion and determine the unit adjustment cost of each expert. In this paper, a new consensus approach is proposed to solve the above problems. First, a new distance measure is given based on interval-valued initial opinion, which retains the expert’s initial judgment and is consistent with most practical decision problems. Second, a linear analytical formula is given to reduce the computational cost of the piecewise function. Third, given the advantages of robust optimization in uncertain optimization, three robust cost consensus models are established to deal with the uncertain cost problem in consensus reaching progress. Finally, the proposed method is applied to P2P loan consensus, and sensitivity analysis and comparative analysis are presented.

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Acknowledgements

This work was supported in part by Philosophy and Social Science of Shanghai [No. 2020BGL010]. The authors would like to thank the editors and referees for their careful reading and constructive suggestions on the manuscript.

Funding

The Funder was funded by Philosophy and Social Science of Shanghai (Grant No 2020BGL010).

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Authors and Affiliations

  1. Business School, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Huijie Zhang, Ying Ji, Rong Yu, Shaojian Qu & Zexing Dai

  2. School of Management, Shanghai University, Shanghai, 200444, China

    Ying Ji

  3. School of Economics and Management, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Shaojian Qu

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  1. Huijie Zhang
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  2. Ying Ji
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  3. Rong Yu
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  4. Shaojian Qu
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Contributions

HZ: Conceptualization, Methodology, Software, Writing-Original draft. YJ: Conceptualization, Methodology, Resources, Funding acquisition, Supervision, Writing-review & editing. RY: Supervision, Methodology, Writing-review & editing. SQ: Conceptualization, Methodology, Writing-review & editing. ZD: Writing-review & editing.

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Correspondence to Ying Ji.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Zhang, H., Ji, Y., Yu, R. et al. The Robust Cost Consensus Model with Interval-Valued Opinion and Uncertain Cost in Group Decision-Making. Int. J. Fuzzy Syst. 24, 635–649 (2022). https://doi.org/10.1007/s40815-021-01168-w

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  • DOI: https://doi.org/10.1007/s40815-021-01168-w

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