Title
Axiomatization of inconsistency indicators for pairwise comparisons.
Abstract
This study proposes revised axioms for defining inconsistency indicators in pairwise comparisons. It includes the new findings that “PC submatrix cannot have a worse inconsistency indicator than the PC matrix containing it” and that there must be a PC submatrix with the same inconsistency as the given PC matrix. The use of normalized distance for the inconsistency at the level of a triad corrected the former insufficiency in expressing it in the 2014 study on axiomatization by Koczkodaj and Szwarc.
Year
DOI
Venue
2018
10.1016/j.ijar.2017.12.001
International Journal of Approximate Reasoning
Keywords
Field
DocType
Axiom,Pairwise comparison,Inconsistency,Exponentially invertible measure,Normalization
Discrete mathematics,Pairwise comparison,Normalization (statistics),Axiom,Matrix (mathematics),Mathematics
Journal
Volume
Issue
ISSN
94
1
0888-613X
Citations 
PageRank 
References 
9
0.49
8
Authors
2
Name
Order
Citations
PageRank
Waldemar W. Koczkodaj1628100.50
R. Urban2101.54