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Deriving weights from pairwise comparison matrices
Abstract
We study the problem of deriving weights from pairwise comparisons. Properties of acceptable solutions are analysed, including immunity to rank reversals, independence of description of the problem, independence of scale inversion, left-right eigenvector asymmetry, uniqueness, independence of order of operations and inter-level consistency, preservation of the algebraic structure of the problem, extensibility to the additive case, related optimization models and related error measures. We derive the geometric mean from two simple axioms and establish that it is the only acceptable solution to this problem.
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Cited by
A review of fuzzy AHP methods for decision-making with subjective judgements
Liu, Y., Eckert, C. M., & Earl, C. (2020) · Expert Systems with Applications · doi:10.1016/j.eswa.2020.113738 · Cited by 1,079
CONSISTENCY IN THE ANALYTIC HIERARCHY PROCESS: A NEW APPROACH
ALONSO, J. A., & LAMATA, M. T. (2006) · International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems · doi:10.1142/s0218488506004114 · Cited by 893
On the extraction of weights from pairwise comparison matrices
Dijkstra, T. K. (2013) · Central European Journal of Operations Research · doi:10.1007/s10100-011-0212-9 · Cited by 93
Metadata
- Authors
- Barzilai, J.
- Venue
- Journal of the Operational Research Society
- Publisher
- Informa UK Limited
- Published
- 1997-12
- Volume
- 48
- Issue
- 12
- Pages
- 1226-1232
- ISSN
- 0160-5682 (ISSN-L)
- 1476-9360
- OpenAlex
- W2004030638
- Cited by
- 336
- References
- 0
- FWCI
- 5.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- Barzilai, J. (1997). Deriving weights from pairwise comparison matrices. Journal of the Operational Research Society. https://doi.org/10.1057/palgrave.jors.2600474
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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