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A Bayesian priorization procedure for AHP-group decision making

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  • Altuzarra, Alfredo
  • Moreno-Jimenez, Jose Maria
  • Salvador, Manuel

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  • Altuzarra, Alfredo & Moreno-Jimenez, Jose Maria & Salvador, Manuel, 2007. "A Bayesian priorization procedure for AHP-group decision making," European Journal of Operational Research, Elsevier, vol. 182(1), pages 367-382, October.
    • Handle: RePEc:eee:ejores:v:182:y:2007:i:1:p:367-382
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    1. Fichtner, John, 1986. "On deriving priority vectors from matrices of pairwise comparisons," Socio-Economic Planning Sciences, Elsevier, vol. 20(6), pages 341-345.
    2. Belton, Valerie & Gear, Tony, 1985. "The legitimacy of rank reversal--A comment," Omega, Elsevier, vol. 13(3), pages 143-144.
    3. Basak, Indrani, 1998. "Probabilistic judgments specified partially in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 153-164, July.
    4. 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.
    5. Finan, J. S. & Hurley, W. J., 1999. "Transitive calibration of the AHP verbal scale," European Journal of Operational Research, Elsevier, vol. 112(2), pages 367-372, January.
    6. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    7. Laininen, Pertti & Hamalainen, Raimo P., 2003. "Analyzing AHP-matrices by regression," European Journal of Operational Research, Elsevier, vol. 148(3), pages 514-524, August.
    8. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 165-169, July.
    9. Belton, Valerie & Gear, Tony, 1983. "On a short-coming of Saaty's method of analytic hierarchies," Omega, Elsevier, vol. 11(3), pages 228-230.
    10. Juha M. Alho & Jyrki Kangas & Osmo Kolehmainen, 1996. "Uncertainty in Expert Predictions of the Ecological Consequences of Forest Plans," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 45(1), pages 1-14, March.
    11. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
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    Cited by:

    1. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2016. "The precise consistency consensus matrix in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 245(1), pages 245-259, October.
    2. Alfredo Altuzarra & Pilar Gargallo & José María Moreno-Jiménez & Manuel Salvador, 2022. "Identification of Homogeneous Groups of Actors in a Local AHP-Multiactor Context with a High Number of Decision-Makers: A Bayesian Stochastic Search," Mathematics, MDPI, vol. 10(3), pages 1-20, February.
    3. Aguarón, Juan & Escobar, María Teresa & Moreno-Jiménez, José María, 2021. "Reducing inconsistency measured by the geometric consistency index in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 288(2), pages 576-583.
    4. Alfredo Altuzarra & Pilar Gargallo & José María Moreno-Jiménez & Manuel Salvador, 2019. "Homogeneous Groups of Actors in an AHP-Local Decision Making Context: A Bayesian Analysis," Mathematics, MDPI, vol. 7(3), pages 1-13, March.
    5. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez & Alberto Turón, 2019. "AHP-Group Decision Making Based on Consistency," Mathematics, MDPI, vol. 7(3), pages 1-15, March.
    6. Manuel Salvador & Alfredo Altuzarra & Pilar Gargallo & José María Moreno-Jiménez, 2015. "A Bayesian Approach to Maximising Inner Compatibility in AHP-Systemic Decision Making," Group Decision and Negotiation, Springer, vol. 24(4), pages 655-673, July.
    7. Dede, Georgia & Kamalakis, Thomas & Sphicopoulos, Thomas, 2016. "Theoretical estimation of the probability of weight rank reversal in pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 252(2), pages 587-600.
    8. Alfredo Altuzarra & José María Moreno-Jiménez & Manuel Salvador, 2010. "Consensus Building in AHP-Group Decision Making: A Bayesian Approach," Operations Research, INFORMS, vol. 58(6), pages 1755-1773, December.
    9. Changsheng Lin & Gang Kou & Yi Peng & Fawaz E. Alsaadi, 2022. "Aggregation of the nearest consistency matrices with the acceptable consensus in AHP-GDM," Annals of Operations Research, Springer, vol. 316(1), pages 179-195, September.
    10. Grošelj, Petra & Zadnik Stirn, Lidija, 2012. "Acceptable consistency of aggregated comparison matrices in analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 223(2), pages 417-420.
    11. Ma, Li-Ching, 2016. "A new group ranking approach for ordinal preferences based on group maximum consensus sequences," European Journal of Operational Research, Elsevier, vol. 251(1), pages 171-181.
    12. Reon Matemane & Tankiso Moloi & Michael Adelowotan, 2022. "Appraising Executive Compensation ESG-Based Indicators Using Analytical Hierarchical Process and Delphi Techniques," JRFM, MDPI, vol. 15(10), pages 1-19, October.
    13. Mesa, Pascual & Martin-Ortega, Julia & Berbel, Julio, 2008. "Análisis multicriterio de preferencias sociales en gestión hídrica bajo la Directiva Marco del Agua," Economia Agraria y Recursos Naturales, Spanish Association of Agricultural Economists, vol. 8(02), pages 1-22.
    14. José María Moreno-Jiménez & Manuel Salvador & Pilar Gargallo & Alfredo Altuzarra, 2016. "Systemic decision making in AHP: a Bayesian approach," Annals of Operations Research, Springer, vol. 245(1), pages 261-284, October.
    15. Majid Mohammadi & Damian A. Tamburri & Jafar Rezaei, 2023. "Unveiling and Unraveling Aggregation and Dispersion Fallacies in Group MCDM," Group Decision and Negotiation, Springer, vol. 32(4), pages 779-806, August.
    16. 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.
    17. 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).
    18. Liu, Fan & Hua, Zhongsheng & Lim, Andrew, 2015. "Identifying future defaulters: A hierarchical Bayesian method," European Journal of Operational Research, Elsevier, vol. 241(1), pages 202-211.
    19. Sung-Ho Kil & Dong Kun Lee & Jun-Hyun Kim & Ming-Han Li & Galen Newman, 2016. "Utilizing the Analytic Hierarchy Process to Establish Weighted Values for Evaluating the Stability of Slope Revegetation based on Hydroseeding Applications in South Korea," Sustainability, MDPI, vol. 8(1), pages 1-17, January.
    20. S. Lipovetsky, 2009. "Global Priority Estimation in Multiperson Decision Making," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 77-91, January.
    21. 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.
    22. Liu, Bingsheng & Shen, Yinghua & Zhang, Wei & Chen, Xiaohong & Wang, Xueqing, 2015. "An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making," European Journal of Operational Research, Elsevier, vol. 245(1), pages 209-225.

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