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研究了层次分析法(AHP)群决策中判断矩阵的合并问题.首先,论证了层次分析法中m个判断矩阵的几何平均矩阵是判断矩阵,以及m个判断矩阵的加权几何平均复合判断矩阵是判断矩阵;然后,提出了层次分析法中简化的超传递近似法及群决策的几何平均超传递近似法,该方法不需要一致性检验,同时又保持了专家的原始意见;最后,通过一个实例验证了该方法的有效性和实用性.
This paper studies the problem of the merger of judgment matrices in AHP group decision-making.Firstly, it is demonstrated that the geometric mean matrix of m judgment matrices in AHP is the judgment matrix and the weighted geometric mean composite judgment matrix of m judgment matrices is Then, the simplified hyper-transfer approximation method and the geometric mean super-transfer approximation method of group decision-making are proposed. The method does not need the consistency test, and meanwhile retains the expert’s original opinion. Finally, through an example The validity and practicability of this method are verified.