On the monotonicity of the eigenvector method
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- Csató, László & Petróczy, Dóra Gréta, 2021. "On the monotonicity of the eigenvector method," European Journal of Operational Research, Elsevier, vol. 292(1), pages 230-237.
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- Matteo Brunelli & Michele Fedrizzi, 2019. "A general formulation for some inconsistency indices of pairwise comparisons," Annals of Operations Research, Springer, vol. 274(1), pages 155-169, March.
- Bana e Costa, Carlos A. & Vansnick, Jean-Claude, 2008. "A critical analysis of the eigenvalue method used to derive priorities in AHP," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1422-1428, June.
- Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
- Lundy, Michele & Siraj, Sajid & Greco, Salvatore, 2017. "The mathematical equivalence of the “spanning tree” and row geometric mean preference vectors and its implications for preference analysis," European Journal of Operational Research, Elsevier, vol. 257(1), pages 197-208.
- Matteo Brunelli & Michele Fedrizzi, 2015. "Axiomatic properties of inconsistency indices for pairwise comparisons," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(1), pages 1-15, January.
- Tam, Maggie C. Y. & Tummala, V. M. Rao, 2001. "An application of the AHP in vendor selection of a telecommunications system," Omega, Elsevier, vol. 29(2), pages 171-182, April.
- Julio González-Díaz & Ruud Hendrickx & Edwin Lohmann, 2014. "Paired comparisons analysis: an axiomatic approach to ranking methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 139-169, January.
- Csató, László, 2019. "A characterization of the Logarithmic Least Squares Method," European Journal of Operational Research, Elsevier, vol. 276(1), pages 212-216.
- Abel, Edward & Mikhailov, Ludmil & Keane, John, 2018. "Inconsistency reduction in decision making via multi-objective optimisation," European Journal of Operational Research, Elsevier, vol. 267(1), pages 212-226.
- Aupetit, Bernard & Genest, Christian, 1993. "On some useful properties of the Perron eigenvalue of a positive reciprocal matrix in the context of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 70(2), pages 263-268, October.
- Bozóki, Sándor & Fülöp, János, 2018. "Efficient weight vectors from pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 264(2), pages 419-427.
- Baback Vaziri & Shaunak Dabadghao & Yuehwern Yih & Thomas L. Morin, 2018. "Properties of sports ranking methods," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(5), pages 776-787, May.
- Chao, Xiangrui & Kou, Gang & Li, Tie & Peng, Yi, 2018. "Jie Ke versus AlphaGo: A ranking approach using decision making method for large-scale data with incomplete information," European Journal of Operational Research, Elsevier, vol. 265(1), pages 239-247.
- Dmitry Dagaev & Konstantin Sonin, 2018. "Winning by Losing," Journal of Sports Economics, , vol. 19(8), pages 1122-1146, December.
- van den Brink, René & Gilles, Robert P., 2009.
"The outflow ranking method for weighted directed graphs,"
European Journal of Operational Research, Elsevier, vol. 193(2), pages 484-491, March.
- René van den Brink & Robert P. Gilles, 0000. "The Outflow Ranking Method for Weighted Directed Graphs," Tinbergen Institute Discussion Papers 06-044/1, Tinbergen Institute.
- László Csató, 2013. "Ranking by pairwise comparisons for Swiss-system tournaments," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(4), pages 783-803, December.
- Sándor Bozóki & János Fülöp & Attila Poesz, 2015. "On reducing inconsistency of pairwise comparison matrices below an acceptance threshold," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 849-866, December.
- Ho, William, 2008. "Integrated analytic hierarchy process and its applications - A literature review," European Journal of Operational Research, Elsevier, vol. 186(1), pages 211-228, April.
- Vaidya, Omkarprasad S. & Kumar, Sushil, 2006. "Analytic hierarchy process: An overview of applications," European Journal of Operational Research, Elsevier, vol. 169(1), pages 1-29, February.
- László Csató, 2018. "Characterization of the Row Geometric Mean Ranking with a Group Consensus Axiom," Group Decision and Negotiation, Springer, vol. 27(6), pages 1011-1027, December.
- Kendall, Graham & Lenten, Liam J.A., 2017. "When sports rules go awry," European Journal of Operational Research, Elsevier, vol. 257(2), pages 377-394.
- George Rabinowitz, 1976. "Some Comments on Measuring World Influence," Conflict Management and Peace Science, Peace Science Society (International), vol. 2(1), pages 49-55, February.
- Barker, Theresa J. & Zabinsky, Zelda B., 2011. "A multicriteria decision making model for reverse logistics using analytical hierarchy process," Omega, Elsevier, vol. 39(5), pages 558-573, October.
- Ergu, Daji & Kou, Gang & Peng, Yi & Shi, Yong, 2011. "A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP," European Journal of Operational Research, Elsevier, vol. 213(1), pages 246-259, August.
- Thomas L. Saaty & Luis G. Vargas, 2012. "Models, Methods, Concepts & Applications of the Analytic Hierarchy Process," International Series in Operations Research and Management Science, Springer, edition 2, number 978-1-4614-3597-6, April.
- Bozóki, Sándor & Csató, László & Temesi, József, 2016. "An application of incomplete pairwise comparison matrices for ranking top tennis players," European Journal of Operational Research, Elsevier, vol. 248(1), pages 211-218.
- R. Blanquero & E. Carrizosa & E. Conde, 2006. "Inferring Efficient Weights from Pairwise Comparison Matrices," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 271-284, October.
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Cited by:
- Sasaki, Yasuo, 2023. "Strategic manipulation in group decisions with pairwise comparisons: A game theoretical perspective," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1133-1139.
- Csató, László, 2024. "Right-left asymmetry of the eigenvector method: A simulation study," European Journal of Operational Research, Elsevier, vol. 313(2), pages 708-717.
- Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022.
"Monotonicity in sharing the revenues from broadcasting sports leagues,"
European Journal of Operational Research, Elsevier, vol. 297(1), pages 338-346.
- Gustavo Bergantiños & Juan D. Moreno-Ternero, 2021. "Monotonicity in sharing the revenues from broadcasting sports leagues," Working Papers 21.09, Universidad Pablo de Olavide, Department of Economics.
- Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2021. "Monotonicity in sharing the revenues from broadcasting sports leagues," MPRA Paper 105643, University Library of Munich, Germany.
- Abbas, Ali E. & Hupman, Andrea C., 2023. "Scale dependence in weight and rate multicriteria decision methods," European Journal of Operational Research, Elsevier, vol. 309(1), pages 225-235.
- Jacek Szybowski & Konrad Kułakowski & Sebastian Ernst, 2024. "Almost optimal manipulation of pairwise comparisons of alternatives," Journal of Global Optimization, Springer, vol. 90(1), pages 243-259, September.
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