A note on the proportionality between some consistency indices in the   AHP
  Analyzing the consistency of preferences is an important step in decision making with pairwise comparison matrices, and several indices have been proposed in order to estimate it. In this paper we prove the proportionality between some consistency indices in the framework of the Analytic Hierarchy Process. Knowing such equivalences eliminates redundancy in the consideration of evidence for consistent preferences. 
Matteo Brunelli, Andrew Critch and Michele Fedrizzi
stat.ME