两类层次分析法的转换及在应用中的比较

Transformation fromAHPto FAHPand their applications

模糊层次分析法是层次分析法的一种,用于处理含有模糊性的决策问题。通过研究一致互反判断矩阵与模糊互补判断矩阵的转换关系,给出把一致互反矩阵转换成模糊互补矩阵且权向量排序不变的方法,基于这种转换的保序性,提出了一种介于层次分析法与模糊层次分析法之间的新的层次分析方法,这种方法简化了层次分析法的计算。作为这种新方法的应用,通过实例验证了该方法的合理性。

This paper proposes a new approach for Analytic Hierarchy Process （AHP）, which combines AHP and Fuzzy FAHP. The re- lationship between judgment matrices in AHP and fuzzy judgment matrices in FAHP is studied. It is showed that the judgment matrices in AHP can be transformed to judgment matrices in FAHP and the transformation gives the same result. As an application of the new al- gorithm, a real example is given to compare AHP with FAHP