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The experts' opinions integration has always been an important part of group decision making. This paper analyses the consistency of general judgment matrix and proposes a model of group priority weight vector calculation. Through the analysis of this model, a genetic algorithms is designed, and values of some parameters are proposed. Since the Analytic Hierarchy Process in Generalized Judgemet(GJAHP) is an expansion of AHP, the proposed model has a wide applicability, which could be properly applied to the priority weight value aggregation of group AHP in its general sense.