On Axiomatization of Inconsistency Indicators for Pairwise Comparisons
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Abstract (arXiv)
We examine the notion of inconsistency in pairwise comparisons and propose an axiomatization which is independent of any method of approximation or the inconsistency indicator definition (e.g., Analytic Hierarchy Process, AHP). It has been proven that the eigenvalue-based inconsistency (proposed as a part of AHP) is incorrect.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). First posted on arXiv 24 Jul 2013.
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Citing papers per year: 2022: 1; 2023: 0; 2024: 2; 2025: 1; 2026: 1.
5 papers.
- 2022Manipulation of individual judgments in the quantitative pairwise comparisons methodcited by 1
- 2024Establishing a leader in a pairwise comparisons methodcited by 0
- 2024An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices' Properties in Pairwise Comparisons Methodscited by 0
- 2025Classifying Inconsistency in AHP Pairwise Comparison Matrices Using Machine Learningcited by 0
- 2026Geometric mean-based pairwise comparison method with the reference values -- statistical approachcited by 0
- 2026Geometric mean-based pairwise comparison method with the reference values -- statistical approach10 Jul 2026
- 2025Classifying Inconsistency in AHP Pairwise Comparison Matrices Using Machine Learning7 May 2025
- 2024An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices' Properties in Pairwise Comparisons Methods23 Aug 2024
- 2024Establishing a leader in a pairwise comparisons method21 Mar 2024
- 2022Manipulation of individual judgments in the quantitative pairwise comparisons method1 Nov 2022