A model and its application for uncertainly group decision making ∗

To better solve the complicated problem of multi-attribute group decision making (MAGDM), we proposed a systemic approach by extending TOPSIS method. Linguistic assess terms of each group member were translated into the matrix of fuzzy triangular numbers. By using the incomplete preference information, multi-steps interactive procedure was applied for evaluating, selecting, ranking and approximating group ideal point step by step. In addition, the parameters of group satisfaction degree were designed to weigh group consensus and control the procedure; thus, the order of alternatives were given out conveniently. Therefore, the cumbersome for aggregating and computing group preference data could be avoid. The distance from each alternative to group Fuzzy Ideal Solution (FIS) was calculated to determine the ranking order of all alternatives. Our approach is useful in solving MAGDM problem with less structuralized and incomplete information. A MAGDM example was tested to demonstrate the utility of our method. The result indicated that a interactive group decision support system of realistic methodological frame can be build and applied in uncertainly distributed remote decision making environment with more than one decision maker.