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A critical analysis of the eigenvalue method used to derive priorities in AHP

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Cited by:

  1. Bice Cavallo, 2019. "Coherent weights for pairwise comparison matrices and a mixed-integer linear programming problem," Journal of Global Optimization, Springer, vol. 75(1), pages 143-161, September.
  2. F A F Ferreira & S P Santos & P M M Rodrigues, 2011. "Adding value to bank branch performance evaluation using cognitive maps and MCDA: a case study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(7), pages 1320-1333, July.
  3. A Ishizaka & D Balkenborg & T Kaplan, 2011. "Does AHP help us make a choice? An experimental evaluation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1801-1812, October.
  4. Fernandes, Rosário & Furtado, Susana, 2022. "Efficiency of the principal eigenvector of some triple perturbed consistent matrices," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1007-1015.
  5. Paul Thaddeus Kazibudzki, 2016. "An examination of performance relations among selected consistency measures for simulated pairwise judgments," Annals of Operations Research, Springer, vol. 244(2), pages 525-544, September.
  6. Navid Nadimi & Rosalia Camporeale & Mostafa Khaleghi & Mohamadreza Haghani & Abbas Sheykhfard & Khaled Shaaban, 2023. "A Method to Determine an Equity Score for Transportation Systems in the Cities," Sustainability, MDPI, vol. 15(7), pages 1-22, March.
  7. C. Acuña-Soto & V. Liern & B. Pérez-Gladish, 2021. "Normalization in TOPSIS-based approaches with data of different nature: application to the ranking of mathematical videos," Annals of Operations Research, Springer, vol. 296(1), pages 541-569, January.
  8. Bernard Roy & Roman Slowinski, 2013. "Questions guiding the choice of a multicriteria decision aiding method," Post-Print hal-00874292, HAL.
  9. Schuwirth, N. & Reichert, P. & Lienert, J., 2012. "Methodological aspects of multi-criteria decision analysis for policy support: A case study on pharmaceutical removal from hospital wastewater," European Journal of Operational Research, Elsevier, vol. 220(2), pages 472-483.
  10. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
  11. Ishizaka, Alessio & Siraj, Sajid, 2018. "Are multi-criteria decision-making tools useful? An experimental comparative study of three methods," European Journal of Operational Research, Elsevier, vol. 264(2), pages 462-471.
  12. Mónica D. Oliveira & Inês Mataloto & Panos Kanavos, 2019. "Multi-criteria decision analysis for health technology assessment: addressing methodological challenges to improve the state of the art," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 20(6), pages 891-918, August.
  13. A. Psomas & I. Vryzidis & A. Spyridakos & M. Mimikou, 2021. "MCDA approach for agricultural water management in the context of water–energy–land–food nexus," Operational Research, Springer, vol. 21(1), pages 689-723, March.
  14. Chemweno, Peter & Pintelon, Liliane & Van Horenbeek, Adriaan & Muchiri, Peter, 2015. "Development of a risk assessment selection methodology for asset maintenance decision making: An analytic network process (ANP) approach," International Journal of Production Economics, Elsevier, vol. 170(PB), pages 663-676.
  15. Mohd. Sadiq & Mohd. Sadim & Azra Parveen, 2021. "Applying statistical approach to check the consistency of pairwise comparison matrices during software requirements prioritization process," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(3), pages 451-460, June.
  16. 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.
  17. 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.
  18. Rodrigues, Teresa C. & Montibeller, Gilberto & Oliveira, Mónica D. & Bana e Costa, Carlos A., 2017. "Modelling multicriteria value interactions with Reasoning Maps," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1054-1071.
  19. Harshitha Urs Ajjipura Shankar & Udaya Kumara Kodipalya Nanjappa & M. D. Alsulami & Ballajja C. Prasannakumara, 2022. "A Fuzzy AHP-Fuzzy TOPSIS Urged Baseline Aid for Execution Amendment of an Online Food Delivery Affability," Mathematics, MDPI, vol. 10(16), pages 1-24, August.
  20. Liu, Fang & Zhang, Wei-Guo & Zhang, Li-Hua, 2014. "Consistency analysis of triangular fuzzy reciprocal preference relations," European Journal of Operational Research, Elsevier, vol. 235(3), pages 718-726.
  21. D'ora Gr'eta Petr'oczy & L'aszl'o Csat'o, 2019. "Revenue allocation in Formula One: a pairwise comparison approach," Papers 1909.12931, arXiv.org, revised Dec 2020.
  22. Changsheng Lin & Gang Kou & Daji Ergu, 2013. "An improved statistical approach for consistency test in AHP," Annals of Operations Research, Springer, vol. 211(1), pages 289-299, December.
  23. Li, Kevin W. & Wang, Zhou-Jing & Tong, Xiayu, 2016. "Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices," European Journal of Operational Research, Elsevier, vol. 250(2), pages 628-638.
  24. Jiří Mazurek, 2018. "Some notes on the properties of inconsistency indices in pairwise comparisons," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(1), pages 27-42.
  25. Lai, Po‐Lin & Potter, Andrew & Beynon, Malcolm & Beresford, Anthony, 2015. "Evaluating the efficiency performance of airports using an integrated AHP/DEA-AR technique," Transport Policy, Elsevier, vol. 42(C), pages 75-85.
  26. Kou, Gang & Ergu, Daji & Shang, Jennifer, 2014. "Enhancing data consistency in decision matrix: Adapting Hadamard model to mitigate judgment contradiction," European Journal of Operational Research, Elsevier, vol. 236(1), pages 261-271.
  27. Tomashevskii, I.L., 2015. "Eigenvector ranking method as a measuring tool: Formulas for errors," European Journal of Operational Research, Elsevier, vol. 240(3), pages 774-780.
  28. Salvatore Corrente & Michael Doumpos & Salvatore Greco & Roman Słowiński & Constantin Zopounidis, 2017. "Multiple criteria hierarchy process for sorting problems based on ordinal regression with additive value functions," Annals of Operations Research, Springer, vol. 251(1), pages 117-139, April.
  29. Wu-E Yang & Chao-Qun Ma & Zhi-Qiu Han & Wen-Jun Chen, 2016. "Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 769-787, July.
  30. Anna Kędzior & Konrad Kułakowski, 2023. "Multiple-Criteria Heuristic Rating Estimation," Mathematics, MDPI, vol. 11(13), pages 1-19, June.
  31. Fujun Hou, 2016. "Market Competitiveness Evaluation of Mechanical Equipment with a Pairwise Comparisons Hierarchical Model," PLOS ONE, Public Library of Science, vol. 11(1), pages 1-18, January.
  32. Alessio Ishizaka & Sajid Siraj, 2020. "Interactive consistency correction in the analytic hierarchy process to preserve ranks," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 443-464, December.
  33. Wang, Xiaojun & Chan, Hing Kai & Li, Dong, 2015. "A case study of an integrated fuzzy methodology for green product development," European Journal of Operational Research, Elsevier, vol. 241(1), pages 212-223.
  34. 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.
  35. Jaroslav Ramík, 2017. "Ranking Alternatives by Pairwise Comparisons Matrix and Priority Vector," Scientific Annals of Economics and Business (continues Analele Stiintifice), Alexandru Ioan Cuza University, Faculty of Economics and Business Administration, vol. 64(4), pages 85-95, December.
  36. Bice Cavallo & Livia D’Apuzzo, 2020. "Relations between coherence conditions and row orders in pairwise comparison matrices," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 637-656, December.
  37. repec:hal:wpaper:hal-00874292 is not listed on IDEAS
  38. Hurson, Christian & Siskos, Yannis, 2014. "A synergy of multicriteria techniques to assess additive value models," European Journal of Operational Research, Elsevier, vol. 238(2), pages 540-551.
  39. Karanik, Marcelo & Wanderer, Leonardo & Gomez-Ruiz, Jose Antonio & Pelaez, Jose Ignacio, 2016. "Reconstruction methods for AHP pairwise matrices: How reliable are they?," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 103-124.
  40. 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.
  41. Jiří Mazurek & Konrad Kulakowski, 2020. "Information gap in value propositions of business models of language schools," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 77-89.
  42. Alessio Ishizaka, 2014. "Comparison of fuzzy logic, AHP, FAHP and hybrid fuzzy AHP for new supplier selection and its performance analysis," International Journal of Integrated Supply Management, Inderscience Enterprises Ltd, vol. 9(1/2), pages 1-22.
  43. Ardalan Bafahm & Minghe Sun, 2019. "Some Conflicting Results in the Analytic Hierarchy Process," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 465-486, March.
  44. József Temesi, 2019. "An interactive approach to determine the elements of a pairwise comparison matrix," 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. 27(2), pages 533-549, June.
  45. 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.
  46. Kułakowski, Konrad, 2015. "Notes on order preservation and consistency in AHP," European Journal of Operational Research, Elsevier, vol. 245(1), pages 333-337.
  47. Corrente, S. & Figueira, J.R. & Greco, S., 2021. "Pairwise comparison tables within the deck of cards method in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 291(2), pages 738-756.
  48. Durbach, Ian & Lahdelma, Risto & Salminen, Pekka, 2014. "The analytic hierarchy process with stochastic judgements," European Journal of Operational Research, Elsevier, vol. 238(2), pages 552-559.
  49. Liu, Xianliang & Ma, Yonghao, 2021. "A method to analyze the rank reversal problem in the ELECTRE II method," Omega, Elsevier, vol. 102(C).
  50. Kułakowski, Konrad & Mazurek, Jiří & Ramík, Jaroslav & Soltys, Michael, 2019. "When is the condition of order preservation met?," European Journal of Operational Research, Elsevier, vol. 277(1), pages 248-254.
  51. Marco Araújo & Love Ekenberg & Mats Danielson & João Confraria, 2022. "A Multi-Criteria Approach to Decision Making in Broadband Technology Selection," Group Decision and Negotiation, Springer, vol. 31(2), pages 387-418, April.
  52. Hocine, Amine & Kouaissah, Noureddine, 2020. "XOR analytic hierarchy process and its application in the renewable energy sector," Omega, Elsevier, vol. 97(C).
  53. Vicente Rodríguez Montequín & Joaquín Manuel Villanueva Balsera & Marina Díaz Piloñeta & César Álvarez Pérez, 2020. "A Bradley-Terry Model-Based Approach to Prioritize the Balance Scorecard Driving Factors: The Case Study of a Financial Software Factory," Mathematics, MDPI, vol. 8(2), pages 1-15, February.
  54. Li, Chengjiang & Jia, Tingwen & Wang, Honglei & Wang, Xiaolin & Negnevitsky, Michael & Hu, Yu-jie & Zhao, Gang & Wang, Liang, 2023. "Assessing the prospect of deploying green methanol vehicles in China from energy, environmental and economic perspectives," Energy, Elsevier, vol. 263(PE).
  55. Ho, William & Ma, Xin, 2018. "The state-of-the-art integrations and applications of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 267(2), pages 399-414.
  56. Ramos, Jorge, 2021. "Online Perception Of Artificial Reef Risk And Safety By Stakeholders (Including Residents And Tourists) Via The Analytic Hierarchy Process," Journal of Tourism, Sustainability and Well-being, Cinturs - Research Centre for Tourism, Sustainability and Well-being, University of Algarve, vol. 9(3), pages 189-204.
  57. Doumpos, Michael & Zopounidis, Constantin, 2011. "Preference disaggregation and statistical learning for multicriteria decision support: A review," European Journal of Operational Research, Elsevier, vol. 209(3), pages 203-214, March.
  58. Andrés Calizaya & Oliver Meixner & Lars Bengtsson & Ronny Berndtsson, 2010. "Multi-criteria Decision Analysis (MCDA) for Integrated Water Resources Management (IWRM) in the Lake Poopo Basin, Bolivia," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(10), pages 2267-2289, August.
  59. Wu, Cheng-Ru & Lin, Chin-Tsai & Tsai, Pei-Hsuan, 2010. "Evaluating business performance of wealth management banks," European Journal of Operational Research, Elsevier, vol. 207(2), pages 971-979, December.
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