Inconsistency indicator maps on groups for pairwise comparisons
Abstract
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 abelian linearly ordered group. The followup publication (On normalization of inconsistency indicators in pairwise comparisons, a collaboration which includes two of three authors of this publication) shows that any inconsistency indicator should be normalized for a number of practical and theoretical reasons. The publication below fails to demonstrate even one example of a non trivial group (other than a group consisting of real numbers. However, some obtained results (under erroneous assumptions) are still valid.
Keywords
Cite
@article{arxiv.1502.06160,
title = {Inconsistency indicator maps on groups for pairwise comparisons},
author = {W. W. Koczkodaj and J. Szybowski and E. Wajch},
journal= {arXiv preprint arXiv:1502.06160},
year = {2017}
}
Comments
This paper contains a serious error which was corrected in the followup publication: "On normalization of inconsistency indicators in pairwise comparisons" posted as https://arxiv.org/abs/1702.07205