85 citations · 279 across the 23 of their papers we have counts for
7 papers · 1 filter
On Orthogonal Projections on the Space of Consistent Pairwise Comparisons Matrices
W. W. Koczkodaj, R. Smarzewski, J. Szybowski
In this study, the orthogonalization process for different inner products is applied to pairwise comparisons. Properties of consistent approximations of a given inconsistent pairwi…
Pairwise Comparisons Rating Scale Paradox
W. W. Koczkodaj
This study demonstrates that incorrect data are entered into a pairwise comparisons matrix for processing into weights for the data collected by a rating scale. Unprocessed rating…
Axiomatization of Inconsistency Indicators for Pairwise Comparisons
W. W. Koczkodaj, J. -P. Magnot
This study proposes revised axioms for defining inconsistency indicators in pairwise comparisons. It is based on the new findings that "PC submatrix cannot have a worse inconsisten…
Managing Null Entries in Pairwise Comparisons
W. W. Koczkodaj, M. W. Herman, M. Orlowski
This paper shows how to manage null entries in pairwise comparisons matrices. Although assessments can be imprecise, since subjective criteria are involved, the classical pairwise…
An Algorithm for the Optimal Consistent Approximation to a Pairwise Comparisons Matrix by Orthogonal Projections
W. W. Koczkodaj, M. Orlowski
The algorithm for finding the optimal consistent approximation of an inconsistent pairwise comparisons matrix is based on a logarithmic transformation of a pairwise comparisons mat…
An LP-based inconsistency monitoring of pairwise comparison matrices
S. Bozoki, J. Fulop, W. W. Koczkodaj
A distance-based inconsistency indicator, defined by the third author for the consistency-driven pairwise comparisons method, is extended to the incomplete case. The corresponding…
A Monte Carlo Study of Pairwise Comparisons
M. W. Herman, W. W. Koczkodaj
Consistent approximations obtained by geometric means () and the principal eigenvector (), turned out to be close enough for 1,000,000 not-so-inconsistent pairwise comparis…