A METHOD BASED ON MEAN DEVIATION FOR WEIGHT DETERMINATION FROM FUZZY PREFERENCE RELATIONS AND MULTIPLICATIVE PREFERENCE RELATIONS

Yejun Xu (), Ravi Patnayakuni () and Huimin Wang ()
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Yejun Xu: State Key Laboratory of Hydrology-Water, Resources and Hydraulic Engineering, Hohai University, Nanjing, 210098, 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;

International Journal of Information Technology & Decision Making (IJITDM), 2012, vol. 11, issue 03, 627-641

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.

Keywords: Group decision making; fuzzy preference relation; multiplicative preference relation; mean deviation; priority ranking (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0219622012500149

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