论文标题
关于成对比较方法中排名向量之间的相似性
On the similarity between ranking vectors in the pairwise comparison method
论文作者
论文摘要
成对比较矩阵有许多优先级衍生方法。众所周知，当这些矩阵一致时，所有这些方法都会导致相同的优先级向量。但是，当它们不一致时，结果可能会有所不同。提出的工作提出了两种最受欢迎的排名方法中优先矢量之间差异的估计：特征值方法和几何均值方法。所提供的估计是指成对比较矩阵的不一致。理论考虑伴随着蒙特卡洛实验，显示了两种方法的值之间的差异。
There are many priority deriving methods for pairwise comparison matrices. It is known that when these matrices are consistent all these methods result in the same priority vector. However, when they are inconsistent, the results may vary. The presented work formulates an estimation of the difference between priority vectors in the two most popular ranking methods: the eigenvalue method and the geometric mean method. The estimation provided refers to the inconsistency of the pairwise comparison matrix. Theoretical considerations are accompanied by Montecarlo experiments showing the discrepancy between the values of both methods.
