A note on consistent adjustments of pairwise comparison judgments

On inconsistency of a pairwise comparison matrix

On a pairwise comparison-based consistent non-numerical ranking

We discuss a consistent model of pairwise comparison-based non-numerical ranking. An algorithm that enforces consistency for raw or partially organized ranking data is presented and its properties are analysed. The concept of testing subjective rankings is also discussed.

A note on deriving weights from pairwise comparison ratio matrices

This paper addresses the Cook and Kress method regarding the use of mathematical programming to derive weights from pairwise comparison ratio matrices. We note that the Cook and Kress formulation has the shortcoming that alternative optimal solutions may occur, which would lead to an infinite set of possible weights. This paper proposes to resolve the problem by formulating a Phase II optimizat...

On the Optimal Consistent Approximation to Pairwise Comparison Matrices

Consistency retrieval from a biased relative preference table is an imperative task in decision theory This paper considers the least squares approximation of a pairwise comparison matrix by consistent matrices It is observed that the highly nonlinear manifold of consistent matrices can be changed into a linear subspace by the component wise logarithmic transformation A rst order optimality con...

on inconsistency of a pairwise comparison matrix