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Singular value decomposition in AHP

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  • Gass, S. I.
  • Rapcsak, T.

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  • Gass, S. I. & Rapcsak, T., 2004. "Singular value decomposition in AHP," European Journal of Operational Research, Elsevier, vol. 154(3), pages 573-584, May.
    • Handle: RePEc:eee:ejores:v:154:y:2004:i:3:p:573-584
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    1. Tung, S. L. & Tang, S. L., 1998. "A comparison of the Saaty's AHP and modified AHP for right and left eigenvector inconsistency," European Journal of Operational Research, Elsevier, vol. 106(1), pages 123-128, April.
    2. Basak, Indrani, 2001. "The categorical data analysis approach for ratio model of pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 128(3), pages 532-544, February.
    3. Takeda, E. & Cogger, K. O. & Yu, P. L., 1987. "Estimating criterion weights using eigenvectors: A comparative study," European Journal of Operational Research, Elsevier, vol. 29(3), pages 360-369, June.
    4. L Mikhailov, 2000. "A fuzzy programming method for deriving priorities in the analytic hierarchy process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(3), pages 341-349, March.
    5. Golany, B. & Kress, M., 1993. "A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices," European Journal of Operational Research, Elsevier, vol. 69(2), pages 210-220, September.
    6. Zahir, Sajjad, 1999. "Geometry of decision making and the vector space formulation of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 112(2), pages 373-396, January.
    7. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
    8. Saaty, Thomas L., 1990. "Eigenvector and logarithmic least squares," European Journal of Operational Research, Elsevier, vol. 48(1), pages 156-160, September.
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    1. Sándor Bozóki & Linda Dezső & Attila Poesz & József Temesi, 2013. "Analysis of pairwise comparison matrices: an empirical research," Annals of Operations Research, Springer, vol. 211(1), pages 511-528, December.
    2. Amenta, Pietro & Lucadamo, Antonio & Marcarelli, Gabriella, 2021. "On the choice of weights for aggregating judgments in non-negotiable AHP group decision making," European Journal of Operational Research, Elsevier, vol. 288(1), pages 294-301.
    3. Cheng Long & Song Lu & Yiting Zhu, 2022. "Research on Popular Science Tourism Based on SWOT-AHP Model: A Case Study of Koktokay World Geopark in China," Sustainability, MDPI, vol. 14(15), pages 1-16, July.
    4. Vladimír Bureš & Jiří Cabal & Pavel Čech & Karel Mls & Daniela Ponce, 2020. "The Influence of Criteria Selection Method on Consistency of Pairwise Comparison," Mathematics, MDPI, vol. 8(12), pages 1-13, December.
    5. Brunelli, Matteo & Fedrizzi, Michele, 2024. "Inconsistency indices for pairwise comparisons and the Pareto dominance principle," European Journal of Operational Research, Elsevier, vol. 312(1), pages 273-282.
    6. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez & Alberto Turón, 2020. "The Triads Geometric Consistency Index in AHP-Pairwise Comparison Matrices," Mathematics, MDPI, vol. 8(6), pages 1-17, June.
    7. Jorge L. García-Alcaraz & Aidé A. Maldonado-Macías & Juan L. Hernández-Arellano & Julio Blanco-Fernández & Emilio Jiménez-Macías & Juan C. Sáenz-Díez Muro, 2016. "Agricultural Tractor Selection: A Hybrid and Multi-Attribute Approach," Sustainability, MDPI, vol. 8(2), pages 1-16, February.
    8. Armina Mirzadeh & Malek Hasan Pad & Habbibollah Salarzehi & Abdolaziz Abtin, 2014. "Identification and Prioritizing the Investment Opportunities in Chabahar Free Zone using Analytical Hierarchy," International Journal of Academic Research in Business and Social Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Business and Social Sciences, vol. 4(11), pages 320-331, November.
    9. József Temesi, 2011. "Pairwise comparison matrices and the error-free property of the decision maker," 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. 19(2), pages 239-249, June.
    10. Stein, William E. & Mizzi, Philip J., 2007. "The harmonic consistency index for the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 177(1), pages 488-497, February.
    11. Vanacore, Amalia & Pellegrino, Maria Sole, 2021. "Testing inter-group ranking heterogeneity: do patient characteristics matter for prioritization of quality improvements in healthcare service?," Socio-Economic Planning Sciences, Elsevier, vol. 73(C).
    12. Kou, Gang & Lin, Changsheng, 2014. "A cosine maximization method for the priority vector derivation in AHP," European Journal of Operational Research, Elsevier, vol. 235(1), pages 225-232.
    13. Pietro Amenta & Alessio Ishizaka & Antonio Lucadamo & Gabriella Marcarelli & Vijay Vyas, 2020. "Computing a common preference vector in a complex multi-actor and multi-group decision system in Analytic Hierarchy Process context," Annals of Operations Research, Springer, vol. 284(1), pages 33-62, January.
    14. Liu, Fang & Zou, Shu-Cai & Li, Qing, 2020. "Deriving priorities from pairwise comparison matrices with a novel consistency index," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    15. Jahangir Wasim & Vijay Vyas & Pietro Amenta & Antonio Lucadamo & Gabriella Marcarelli & Alessio Ishizaka, 2023. "Deriving the weights for aggregating judgments in a multi-group problem: an application to curriculum development in entrepreneurship," Annals of Operations Research, Springer, vol. 326(2), pages 853-877, July.
    16. Sangeeta Pant & Anuj Kumar & Mangey Ram & Yury Klochkov & Hitesh Kumar Sharma, 2022. "Consistency Indices in Analytic Hierarchy Process: A Review," Mathematics, MDPI, vol. 10(8), pages 1-15, April.
    17. S. Lipovetsky, 2009. "Global Priority Estimation in Multiperson Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 77-91, January.
    18. S. Miškolci, 2008. "Multifunctional agriculture: evaluation of non-production benefits using the Analytical Hierarchy Process," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 54(7), pages 322-332.
    19. Sándor Bozóki, 2008. "Solution of the least squares method problem of pairwise comparison matrices," 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. 16(4), pages 345-358, December.
    20. Yuji Sato & Kim Hua Tan, 2023. "Inconsistency indices in pairwise comparisons: an improvement of the Consistency Index," Annals of Operations Research, Springer, vol. 326(2), pages 809-830, July.
    21. Matteo Rossi & Gabriella Marcarelli & Antonella Ferraro & Antonio Lucadamo, 2020. "How do Calendar Anomalies Affect an Investment Choice? A Proposal of an Analytic Hierarchy Process Model," International Journal of Economics and Financial Issues, Econjournals, vol. 10(1), pages 244-249.
    22. S M Mirhedayatian & R Farzipoor Saen, 2011. "A new approach for weight derivation using data envelopment analysis in the analytic hierarchy process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1585-1595, August.

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