An iterative algorithm for searching for the optimal decision vector in group decision making

The analytic hierarchy process is an efficient method in group decision making. The judgment matrix is the foundation of the analytic hierarchy process. Generally, there are several judgment matrices proposed by different experts. It is a critical factor how to synthesize these experts' opinions. In this paper, based on the conception of compatibility, the mathematical model is established for searching optimal decision vector in group decision making and an appropriate iterative algorithm is presented. In the end, the efficiency of this algorithm is tested and verified with an example.