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A Method Based On Mean Deviation For Weight Determination From Fuzzy Preference Relations And Multiplicative Preference Relations

Author

Listed:
  • YEJUN XU

    (State Key Laboratory of Hydrology-Water, Resources and Hydraulic Engineering, Hohai University, Nanjing, 210098, P. R. China;
    Business School, Hohai University, Jiangning, Nanjing, Jiangsu, 211100, P. R. China)

  • RAVI PATNAYAKUNI

    (Department of Economics and IS, University of Alabama in Huntsville, Huntsville, AL, 35763, USA)

  • HUIMIN WANG

    (State Key Laboratory of Hydrology-Water, Resources and Hydraulic Engineering, Hohai University, Nanjing, 210098, P. R. China;
    Business School, Hohai University, Jiangning, Nanjing, Jiangsu, 211100, P. R. China)

Abstract

The group decision-making problem is studied, in which the experts provide their preference information by different formats, i.e., multiplicative preference relations and fuzzy preference relations. The net flow scores of fuzzy preference relations and multiplicative preference relations are introduced. The mean deviation method is developed to determine the relative weights of individual different preference relations objectively and then select the most desirable alternative(s) according to the aggregated net flow scores. The method does not need to transform the experts' preference relations into the same format and also does not produce any loss of information. Finally, the proposed method is tested and examined with three examples and proved to be simple, effective and practical.

Suggested Citation

  • Yejun Xu & Ravi Patnayakuni & Huimin Wang, 2012. "A Method Based On Mean Deviation For Weight Determination From Fuzzy Preference Relations And Multiplicative Preference Relations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(03), pages 627-641.
    • Handle: RePEc:wsi:ijitdm:v:11:y:2012:i:03:n:s0219622012500149
    DOI: 10.1142/S0219622012500149
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