The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
CONSISTENCY IN THE ANALYTIC HIERARCHY PROCESS: A NEW APPROACH
Abstract
In this paper, we present a statistical criterion for accepting/rejecting the pairwise reciprocal comparison matrices in the analytic hierarchy process. We have studied the consistency in random matrices of different sizes. We do not agree with the traditional criterion of accepting matrices due to their inflexibility and because it is too restrictive when the size of the matrix increases. Our system is capable of adapting the acceptance requirements to different scopes and consistency necessities. The advantages of our consistency system are the introduction of adaptability in the acceptance criterion and the simplicity of the index we have used, the eigenvalue (λ max) and the simplicity of the criterion.
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Cites
The Analytic Hierarchy Process
SAATY, T. L., & KEARNS, K. P. (1985) · Analytical Planning · doi:10.1016/b978-0-08-032599-6.50008-8 · Cited by 15,357
European journal of operational research
(1990) · Technological Forecasting and Social Change · doi:10.1016/0040-1625(90)90023-o · Cited by 5,365
A law of comparative judgment.
Thurstone, L. L. (1927) · Psychological Review · doi:10.1037/h0070288 · Cited by 5,210
Fundamentals of Decision Making and Priority Theory With the Analytic Hierarchy Process
Saaty, T. L. (2000) · Medical Entomology and Zoology · Cited by 2,635
Elements of psychophysics, 1860.
Fechner, G. T. (1948) · Readings in the history of psychology. · doi:10.1037/11304-026 · Cited by 1,307
A note on the analysis of subjective judgment matrices
Crawford, G., & Williams, C. (1985) · Journal of Mathematical Psychology · doi:10.1016/0022-2496(85)90002-1 · Cited by 965
The analytic hierarchy process: applications and studies
(1993) · Computers & Operations Research · doi:10.1016/0305-0548(93)90049-o · Cited by 504
Deriving weights from pairwise comparison matrices
Barzilai, J. (1997) · Journal of the Operational Research Society · doi:10.1057/palgrave.jors.2600474 · Cited by 336
Alternative modes of questioning in the analytic hierarchy process
Harker, P. T. (1987) · Mathematical Modelling · doi:10.1016/0270-0255(87)90492-1 · Cited by 253
A new measure of consistency for positive reciprocal matrices
Peláez, J. I., & Lamata, M. T. (2003) · Computers & Mathematics with Applications · doi:10.1016/s0898-1221(03)90240-9 · Cited by 164
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Samuel, O. W., Asogbon, G. M., Sangaiah, A. K., Fang, P., & Li, G. (2017) · Expert Systems with Applications · doi:10.1016/j.eswa.2016.10.020 · Cited by 425
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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
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“15 [6] is adopted as the consistency threshold.”
Metadata
- Authors
- ALONSO, J. A., & LAMATA, M. T.
- Venue
- International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 2006-08
- Volume
- 14
- Issue
- 04
- Pages
- 445-459
- ISSN
- 0218-4885 (ISSN-L)
- 1793-6411
- OpenAlex
- W2171947434
- Cited by
- 893
- References
- 12
- FWCI
- 4.80
- Type
- journal article
- Language
- en
- Open access
- closed
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- ALONSO, J. A., & LAMATA, M. T. (2006). CONSISTENCY IN THE ANALYTIC HIERARCHY PROCESS: A NEW APPROACH. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. https://doi.org/10.1142/s0218488506004114
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
