Title
On the Convergence of the Pairwise Comparisons Inconsistency Reduction Process
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.
Year
Venue
Field
2015
CoRR
Convergence (routing),Row,Pairwise comparison,Discrete mathematics,Matrix (mathematics),Geometric mean,Mathematics
DocType
Volume
Citations 
Journal
abs/1505.01325
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Waldemar W. Koczkodaj1628100.50
J. Szybowski2438.45