The linear algebra of pairwise comparisons
From MaRDI portal
Publication:2302967
DOI10.1016/j.ijar.2019.12.009zbMath1470.91099OpenAlexW2994728236WikidataQ126547650 ScholiaQ126547650MaRDI QIDQ2302967
Alexandra Caprila, Matteo Brunelli, Michele Fedrizzi
Publication date: 26 February 2020
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2019.12.009
analytic hierarchy processconsistencyvector spacespairwise comparisonsmultiplicative preference relationsadditive preference relations
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Cites Work
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- On reducing inconsistency of pairwise comparison matrices below an acceptance threshold
- The limit of inconsistency reduction in pairwise comparisons
- Balancing consistency and expert judgment in AHP
- On pairwise comparison matrices that can be made consistent by the modification of a few elements
- Achieving matrix consistency in AHP through linearization
- Deriving weights from pairwise comparison matrices: The additive case
- A note on the analysis of subjective judgement matrices
- Consistent weights for judgements matrices on the relative importance of alternatives
- An orthogonal basis for computing a consistent approximation to a pairwise comparison matrix
- A scaling method for priorities in hierarchical structures
- On some useful properties of the Perron eigenvalue of a positive reciprocal matrix in the context of the analytic hierarchy process
- A multicriteria evaluation of methods for obtaining weights from ratio- scale matrices
- On the optimal consistent approximation to pairwise comparison matrices
- A general unified framework for interval pairwise comparison matrices
- A characterization of the logarithmic least squares method
- Computing a consistent approximation to a generalized pairwise comparisons matrix
- From pairwise comparisons to consistency with respect to a group operation and Koczkodaj's metric
- Algebraic representations of the weighted mean
- Improving consistency in AHP decision-making processes
- Some new properties of inconsistent pairwise comparisons matrices
- Recent Advances on Inconsistency Indices for Pairwise Comparisons — A Commentary1
- A general unified framework for pairwise comparison matrices in multicriterial methods
- A New Way to Analyze Paired Comparison Rules
