修正AHP中判断矩阵的近似加速算法

Approximately Accelerating Algorithm for Correcting Judgement Matrix Consistency in Analytic Hierarchy Process

作为系统工程中典型的定性定量综合集成方法,层次分析法(AHP)在各种复杂系统综合评价和多目标决策中具有广泛的应用价值.为加速修正AHP中判断矩阵的一致性,通过构造修正特征值与步长函数,得到最优修正步长的近似加速算法(AAA).理论分析和实例分析的初步结果说明:近似加速算法结果稳定,精度高,修正速度快,在系统工程中具有推广应用价值.

As a very typical integration method of qualitative and quantitative analysisinsystems engineering, analytic hierarchy process （AHP） has been applied in many system engineering practical problems such as comprehensive evaluation and multi-object decision-making of complex systems. In order to acceleratetly correct the consistency of judgementmatrix in AHP, a new method, named the best excellent correcting pace, approximate accelerating algorithm（AAA）, is gained by constructing correcting eigenvaluespace function. The results of the oretical analysis and case study show that the new method is stability, highprecision and rapided-correcting and that it possesses important the oretical meaning and broad application Value in systems engineering.