45 citations · 96 across the 8 of their papers we have counts for
10 papers
Pairwise Comparisons Matrix Decomposition into Approximation and Orthogonal Component Using Lie Theory
W. W. Koczkodaj, V. W. Marek, Y. Yayli
This paper examines the use of Lie group and Lie Algebra theory to construct the geometry of pairwise comparisons matrices. The Hadamard product (also known as coordinatewise, coor…
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…
On the use of group theory to generalize elements of pairwise comparisons matrix: a cautionary note
W. W. Koczkodaj, F. Liu, V. W. Marek +11
This paper examines the constricted use of group theory in the studies of pairwise comparisons. The presented approach is based on the application of the famous Levi Theorems of 19…
RatingScaleReduction package: stepwise rating scale item reduction without predictability loss
Waldemar W. Koczkodaj, Alicja Wolny-Dominiak
This study presents an innovative method for reducing the number of rating scale items without predictability loss. The "area under the re- ceiver operator curve method" (AUC ROC)…
On normalization of inconsistency indicators in pairwise comparisons
W. W. Koczkodaj, J. -P. Magnot, J. Mazurek +6
In this study, we provide mathematical and practice-driven justification for using normalization of inconsistency indicators in pairwise comparisons. The need for normaliza…
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…