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A Consensus Based Method for Multi-criteria Group Decision Making Under Uncertain Linguistic Setting

Author

Listed:
  • Jiuping Xu

    (Sichuan University)

  • Zhibin Wu

    (Sichuan University)

  • Yuan Zhang

    (Sichuan University)

Abstract

A two-stage (a consensus process and a selection process) approach is proposed to solve multi-criteria group decision making problems under an uncertain linguistic environment. Since achieving general consensus is a desirable goal in group decision making, the proposed method first develops a consensus reaching process in order to reach a satisfactory consensus. Based on the partial order of uncertain linguistic variables, the superiority index of one alternative over another for a given criterion and the overall superiority index of one alternative are defined. Then a procedure based on the superiority indices is described to select the best alternative(s). Given the decision makers’ desire for a consensus solution, a common framework based on the previous consensus model and the selection process is presented. Finally, a practical application is demonstrated to show the effectiveness of the proposed method.

Suggested Citation

  • Jiuping Xu & Zhibin Wu & Yuan Zhang, 2014. "A Consensus Based Method for Multi-criteria Group Decision Making Under Uncertain Linguistic Setting," Group Decision and Negotiation, Springer, vol. 23(1), pages 127-148, January.
    • Handle: RePEc:spr:grdene:v:23:y:2014:i:1:d:10.1007_s10726-012-9310-x
    DOI: 10.1007/s10726-012-9310-x
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    References listed on IDEAS

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    1. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, September.
    2. Zeshui Xu, 2010. "A Deviation-Based Approach to Intuitionistic Fuzzy Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 19(1), pages 57-76, January.
    3. Khaled Jabeur & Jean-Marc Martel, 2010. "An Agreement Index with Respect to a Consensus Preorder," Group Decision and Negotiation, Springer, vol. 19(6), pages 571-590, November.
    4. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi & Feng, Bo, 2010. "The OWA-based consensus operator under linguistic representation models using position indexes," European Journal of Operational Research, Elsevier, vol. 203(2), pages 455-463, June.
    5. Ignacio Contreras, 2010. "A Distance-Based Consensus Model with Flexible Choice of Rank-Position Weights," Group Decision and Negotiation, Springer, vol. 19(5), pages 441-456, September.
    6. Cook, Wade D. & Kress, Moshe, 1991. "A multiple criteria decision model with ordinal preference data," European Journal of Operational Research, Elsevier, vol. 54(2), pages 191-198, September.
    7. Fu, Chao & Yang, Shan-Lin, 2010. "The group consensus based evidential reasoning approach for multiple attributive group decision analysis," European Journal of Operational Research, Elsevier, vol. 206(3), pages 601-608, November.
    8. R. O. Parreiras & P. Ya. Ekel & D. C. Morais, 2012. "Fuzzy Set Based Consensus Schemes for Multicriteria Group Decision making Applied to Strategic Planning," Group Decision and Negotiation, Springer, vol. 21(2), pages 153-183, March.
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    Cited by:

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    2. Yan, Hong-Bin & Ma, Tieju & Huynh, Van-Nam, 2017. "On qualitative multi-attribute group decision making and its consensus measure: A probability based perspective," Omega, Elsevier, vol. 70(C), pages 94-117.
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    6. Zhibin Wu & Jiuping Xu & Zeshui Xu, 2016. "A multiple attribute group decision making framework for the evaluation of lean practices at logistics distribution centers," Annals of Operations Research, Springer, vol. 247(2), pages 735-757, December.
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