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arXiv · 1505.01325

On the Convergence of the Pairwise Comparisons Inconsistency Reduction Process

Waldemar W. Koczkodaj·Jacek Szybowski
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Abstract

This study investigates a powerful model, targeted to subjective assessments, based on pairwise comparisons. It provides a proof that a distance-based inconsistency reduction transforms an inconsistent pairwise comparisons (PC) matrix into a consistent PC matrix which is generated by the geometric means of rows of a given inconsistent PC matrix. The distance-based inconsistency indicator was defined in 1993 for pairwise comparisons. Its convergence was analyzed in 1996 (regretfully, with an incomplete proof; finally completed in 2010). However, there was no clear interpretation of the convergence limit which is of considerable importance for applications and this study does so.

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Waldemar W. Koczkodaj, Jacek Szybowski. 2015-05-06. On the Convergence of the Pairwise Comparisons Inconsistency Reduction Process. https://arxiv.org/abs/1505.01325

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