Abstract | ||
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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. Koczkodaj | 1 | 628 | 100.50 |
R. Urban | 2 | 10 | 1.54 |