两两比较法中排序向量间的相似性
On the similarity between ranking vectors in the pairwise comparison method
摘要：
两两比较矩阵的排序方法有很多种。已知当这些矩阵一致时，所有这些方法产生相同的优先向量。然而，当它们不一致时，结果可能会有所不同。所提出的工作制定了两个最流行的排序方法：特征值法和几何平均值法的优先向量之间的差异的估计。所提供的估计是指成对比较矩阵的不一致性。理论上的考虑是伴随着蒙特卡洛实验显示两种方法的值之间的差异。
英文摘要：
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.
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