Max-algebra and pairwise comparison matrices (Q1827497)

Instead of the Perron eigenvector, the max-eigenvector of a symmetrically reciprocal matrix \(A\) is used in order to construct a transitive matrix that is closest to \(A\) in a relative error measure and gives more consistent rankings in the analytical hierarchy process. In this respect, some properties of the max-eigenvector are discussed and a procedure of its calculation is formulated. Three examples illustrate the entire approach.