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Evaluation of the results of multi-attribute group decision-making with linguistic information

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  • Pang, Jifang
  • Liang, Jiye
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    Abstract

    Multi-attribute group decision-making (MAGDM) has received increasing attentions in both engineering and economy fields. Correspondingly, many valuable methods have been developed to solve various MAGDM problems, but relatively, very few research results focus on the evaluation of the effect of MAGDM. In this paper, based on the existing MAGDM methods with linguistic information, three key evaluation indices, consistency, closeness and uniformity, are proposed to measure the results of MAGDM from different aspects. By comparing the individual overall preference values with the collective ones, the three indices cannot only provide a reference for judging the decision-making effect of each decision maker, but also reflect the effect of group decision-making to a certain extent. The practicality and effectiveness of the proposed method are shown by two heuristic examples. Furthermore, the proposed method will be helpful for setting and adjusting the weights of both attributes and decision makers, as well as for selecting and comparing various aggregation operators and methods in dynamic or interactive group decision-making.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 40 (2012)
    Issue (Month): 3 ()
    Pages: 294-301

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    Handle: RePEc:eee:jomega:v:40:y:2012:i:3:p:294-301

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    Related research

    Keywords: Multi-attribute group decision-making; Linguistic information; Individual overall preference values; Collective overall preference values; Evaluation;

    References

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    1. Barker, Theresa J. & Zabinsky, Zelda B., 2011. "A multicriteria decision making model for reverse logistics using analytical hierarchy process," Omega, Elsevier, vol. 39(5), pages 558-573, October.
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    10. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2001. "Rough sets theory for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 129(1), pages 1-47, February.
    11. F. J. Cabrerizo & S. Alonso & E. Herrera-Viedma, 2009. "A Consensus Model For Group Decision Making Problems With Unbalanced Fuzzy Linguistic Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 109-131.
    12. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
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    Cited by:
    1. Wan, Shu-Ping & Li, Deng-Feng, 2013. "Fuzzy LINMAP approach to heterogeneous MADM considering comparisons of alternatives with hesitation degrees," Omega, Elsevier, vol. 41(6), pages 925-940.

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