85 citations · 279 across the 23 of their papers we have counts for
11 papers · 1 filter
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…
A different perspective on a scale for pairwise comparisons
J. Fueloep, W. W. Koczkodaj, S. J. Szarek
One of the major challenges for collective intelligence is inconsistency, which is unavoidable whenever subjective assessments are involved. Pairwise comparisons allow one to repre…
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…
On the Convergence of the Pairwise Comparisons Inconsistency Reduction Process
Waldemar W. Koczkodaj, Jacek Szybowski
This study investigates a powerful model, targeted to subjective assessments, based on pairwise comparisons. It provides a proof that a distance-based inconsistency reduction trans…
The key properties of inconsistency indicators for a triad in pairwise comparison matrices
W. W. Koczkodaj, J. Szybowski
Processing information, acquired by subjective assessments, involves inconsistency analysis in most (if not all) applications of which some are of considerable importance at a nati…
How to reduce the number of rating scale items without predictability loss?
W. W. Koczkodaj, T. Kakiashvili, A. Szymańska +5
Rating scales are used to elicit data about qualitative entities (e.g., research collaboration). This study presents an innovative method for reducing the number of rating scale it…
Inconsistency indicator maps on groups for pairwise comparisons
W. W. Koczkodaj, J. Szybowski, E. Wajch
This study presents an abelian group approach to analyzing inconsistency in pairwise comparisons. However, it wrongly assumes that an inconsistency indicator can take values in any…