The judgment matrix combination problem of analytic hierarchy process(AHP) group decision making is studied.
Firstly, it is proved that geometric mean matrix of ?? judgment matrices is a judgment matrix, and the weighted geometric mean matrix of ?? judgment matrices is a judgment matrix too. After that, a simplified over super-transitive approximate method in AHP decision making and a geometric mean over super-transitive approximate method in AHP group decision making are proposed. The method does not require a consistency check, while maintaining the original opinion of the experts. Finally, an example illustrates the effectiveness and feasibility of the proposed method.