修正AHP中判断矩阵一致性的加速遗传算法

Accelerating Genetic 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.为修正AHP中判断矩阵的一致性,提出了用加速遗传算法同时修正判断矩阵一致性和计算AHP中各要素的排序权值的新方法(AGA-CAHP).理论分析和实例分析的初步结果说明:AGA-CAHP法直观、实用,计算结果稳定、精度高,在系统工程中具有推广应用价值.

As a very typical integration method of qualitative and quantitative analysis in systems engineering, analytic hierarchy process (AHP) is has been applied in many system engineering practical problems such as comprehensive evaluation and multi-object decision-making of complex systems. In this paper in order to correct the consistency of judgement matrix in AHP, a new method, named AGA-CAHP, is proposed to check the consistency of judgement matrix and compute rank weights at the same time by using accelerating genetic algorithm. The results of theoretical analysis and case study show that the new method is visual, practical, stability and high precision, and that it possesses important theoretical meaning and broad application value in systems engineering.