修正AHP中判断矩阵的近似加速算法

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.

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

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 eigenvalues-pace 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.