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Minimizing Group Discordance Optimization Model for Deriving Expert Weights

Author

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  • Zeshui Xu

    (Southeast University
    The Chinese University of Hong Kong)

  • Xiaoqiang Cai

    (The Chinese University of Hong Kong)

Abstract

This paper focuses on the problem of how to determine expert weights in multiple attribute group decision making. We first aggregate all the individual decision matrices into the collective decision matrix by means of the weighted arithmetic averaging operator, and then from the angle of minimizing group discordance, we establish a general nonlinear optimization model based on deviation function, and employ a genetic algorithm to solve our model so as to find the optimal expert weights. Moreover, we extend our model to uncertain multiple attribute group decision making, where the attribute values are interval numbers, and finally, apply our model to the plan evaluation of new model of cars of an investment company.

Suggested Citation

  • Zeshui Xu & Xiaoqiang Cai, 2012. "Minimizing Group Discordance Optimization Model for Deriving Expert Weights," Group Decision and Negotiation, Springer, vol. 21(6), pages 863-875, November.
    • Handle: RePEc:spr:grdene:v:21:y:2012:i:6:d:10.1007_s10726-011-9253-7
    DOI: 10.1007/s10726-011-9253-7
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    References listed on IDEAS

    as
    1. Zeshui Xu, 2009. "An Interactive Approach to Multiple Attribute Group Decision Making with Multigranular Uncertain Linguistic Information," Group Decision and Negotiation, Springer, vol. 18(2), pages 119-145, March.
    2. Horace W. Brock, 1980. "The Problem of “Utility Weights” in Group Preference Aggregation," Operations Research, INFORMS, vol. 28(1), pages 176-187, February.
    3. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
    4. Samuel E. Bodily, 1979. "Note--A Delegation Process for Combining Individual Utility Functions," Management Science, INFORMS, vol. 25(10), pages 1035-1041, October.
    5. Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
    6. Chiclana, F. & Herrera-Viedma, E. & Herrera, F. & Alonso, S., 2007. "Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 182(1), pages 383-399, October.
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    Citations

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    Cited by:

    1. Marcello Basili, 2018. "Aggregation of experts’ opinions and conditional consensus opinion," Department of Economics University of Siena 780, Department of Economics, University of Siena.

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