Method of multiple attribute group decision making with incomplete information

In consideration of incomplete information in the process of making decision, a class of multiple attribute group decision making problem with incomplete information is studied. On the base of this research, a series of linear programming model is established, and then the interval numbers of alternatives' utility value are obtained. At the same time, the possibility degree is applied to compare each of two alternatives to obtain alternative ranking. In the process of preference aggregation, the ranking index value given by individuals and the incomplete information of decision makers' importance are also considered. Finally, a numerical example is given to demonstrate the proposed approach can make reasonable decision under incomplete information.