The different approaches to approximating an SR-matrix A with a transitive matrix T will in general
produce different rankings of the alternatives. The question of how these rankings are affected by the
choice of scheme is considered in the recent paper of Tran [29].
In the classical AHP involving multiple criteria, a set of SR-matrices is constructed: one for each
criterion. One additional SR-matrix is constructed based on comparisons of the different criteria. Once
weight vectors are obtained for each individual criterion, these are then combined using the entries
of the weight vector for the criteria-comparison matrix. As an illustration, we take the following
numerical example from Saaty [26] and show how the Perron vectors of the comparison matrices are
used to construct a weight vector.