ANALYZING PRIORITY VECTORS: GOING BEYOND INCONSISTENCY INDEXES
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Published
Sep 30, 2022
Marcelo Botelho
Abstract
A great concern when utilizing the Analytic Hierarchy Process (AHP) is how the final priority vector, resulting from the inconsistent analysis, behaves when compared with the original priority ranking, resulting from the consistent analysis. The AHP utilizes an inconsistency index to predict rank reversal. In addition to the original inconsistency index of the AHP, several authors have worked on developing alternative inconsistency indexes, with the goal of improving the predictability of rank reversal. However, inconsistency indexes do not help clarify whether a rank reversal is a rejectable outcome or, to some extent, the correct answer. A rank reversal may express the correct priority, particularly when some positions in the original priority rank have small weight differences among them. Therefore, it is very important to develop a method to allow a clear and definitive analysis on how disturbed the weights and ranking of the final priority vectors are when compared to their original consistent rankings. Such a method is developed here and its utilization is demonstrated by analyzing a corporate governance scenario.
How to Cite
Botelho, M. (2022). ANALYZING PRIORITY VECTORS: GOING BEYOND INCONSISTENCY INDEXES. International Journal of the Analytic Hierarchy Process, 14(2). https://doi.org/10.13033/ijahp.v14i2.922
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Keywords
AHP, MCDA, rank reversal, inconsistency indexes, corporate governance
References
Álvares, E., Giacometti, C., Gusso, E. (2008) Governança corporativa: um modelo brasileiro. 4th ed. Rio de Janeiro: Elsevier Editora. ISBN 978-85-352-3092-5, 8535230920 2008.
Amenta, P., Lucadamo, A., Marcarelli, G. (2018). Approximate thresholds for Salo-Hamalainen Index. IFAC papersOnline, 51(11), 1655-1659. Doi: https://doi.org/10.1016/j.ifacol.2018.08.219.
Araujo, M., Oliveira, E., Monteiro, S. (2017). Avaliação de maturidade de processos de gestão de riscos de TI: ferramenta de apoio para a qualidade e eficiência do processo. Revista Brasileira de Computação Aplicada, 9(2017). Doi: https://doi.org/10.5335/rbca.v9i2.6099.
Atz, F., Gerhard, M., Freitag, V., Vanti, A., et al. (2017). Análise do relacionamento existente entre Governança da Tecnologia da Informação, o gerenciamento de risco corporativo e as funções de Compliance. In: Seminário de Administração. São Paulo: USP, 1-16.
Belton, V., Gear, T. (1985). The legitimacy of rank reversal - a comment. International Journal of Management Science, 13, 143-144. Doi: https://doi.org/10.1016/0305-0483(85)90052-0
Bernasconi, M. Choirat, C., Seri, R. (2009). A re-examination of the algebraic properties of the AHP as ratio-scaling technique. Journal of Mathematical Psychology, 55(2), 152-165. Doi: https://doi.org/10.1016/j.jmp.2010.11.002
Bernasconi, M., Choirat, C., Seri, R. (2010). The Analytic Hierarchy Process and the theory of measurement. Management Science, 56(4), 699-711. Doi: https://www.jstor.org/stable/27784145.
Bezerra, P. (2021). Proposição de um novo modelo para avaliar a sustentabilidade empresarial. 77 f. Dissertação (Mestrado em Administração) – Centro de Humanidades, Universidade Federal de Campina Grande, Campina Grande. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/17903. Acesso em: 20 jun. 2021.
Botelho, M.(2021). A decisão multicritério nos conselhos de administração via análise hierárquica de processos (AHP): análise da inconsistência nas matrizes de comparação par a par nas abordagens de governança corporativa. 106 f. Dissertação (Mestrado em Engenharia e Gestão de Processos e Sistemas) - Instituto de Educação Tecnológica. Doi: https://doi.org/10.19146/pibic-2017-78788
Bozóki, S.; Rapcsák, T. (2008). On Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices. Journal of Global Optimization, 42, 157-17. Doi:10.1007/s10898-007-9236-z.
Brunelli, M. (2018). A survey of inconsistency indexes for pairwise comparisons. International Journal of General Systems, 47(8), 751-771. Doi: https://doi.org/10.1080/03081079.2018.1523156.
Brunelli, M. (2017). Studying a set of properties of inconsistency indexes for pairwise comparisons. Annals of Operations Research, 248, 143-161. Doi: https://doi.org/10.1007/s10479-016-2166-8.
Buede, D.M., Maxwell, D.T. (1995). Rank disagreement: A comparison of Multi-Criteria methodologies. Journal of Multicriteria Decision Analysis, 4(1), 1-21. Doi: https://doi.org/10.1002/mcda.4020040102
Caríssimo, C., Moreira, M., Ornelas, M., Silva, J. (2016). Uso da Análise Hierárquica (AHP) para identificação da preferência de Peritos-Contadores quanto ao método de avaliação de sociedades em perícias contábeis. Revista de Educação e Pesquisa em Contabilidade, 10(1), 44-62. Doi: https://doi.org/10.17524/repec.v10i1.1333.
Cobo, A., Vanti, A., Rocha, R. (2014). A fuzzy multicriteria approach for IT governance evaluation system. Journal of Information Systems and Technology Management, 11(2), 257-276. Doi: 10.4301/S1807-17752014000200003.
Duarte, B. (2019). Maturidade da governança corporativa e gestão dos incentivos fiscais como determinantes da longevidade e desempenho das empresas do polo industrial de Manaus, Biblioteca FACE / UFG LVR 040/2020.
Ellermeier, W., Faulhammer, G. (2000). Empirical evaluation of axioms fundamental to Stevens's ratio-scaling approach: I. Loudness production. Perception & Psychophysics, 62(8), 1505-1511, 2000. Doi: https://doi.org/10.3758/BF03212151.
Emrouznejad, A., Marra, M. (2017). The state of the art development of AHP (1979 - 2017): a literature review with a social network analysis. International Journal of Production Research, 55(22), 6653-6675. Doi: https://doi.org/10.1080/00207543.2017.1334976.
Franeka, J., Krestaa, A. (2014). Judgment scales and consistency measure in AHP. Procedia Economics and Finance, 12(2014), 164-173. Doi: 10.1016/S2212-5671(14)00332-3.
Gass, S., Rapcsá, K. (2001). Models, methods, concepts & applications of the Analytic Hierarchy Process: Singular value decomposition in AHP. International Symposium on the Analytic Hierarchy Process, 6, Berne, Switzerland, 129-130.
Goepel, K. (2018). Comparison of judgement scales of the analytical hierarchy process: a new approach. International Journal of Information Technology and Decision Making, 18(2), 445-463. Doi:10.1142/S0219622019500044.
Gonzáles, P., Vanti, A., Seiber, T. R., Castro, M. (2018). Design de hierarquização multicritério para o aumento da competitividade empresarial. International Conference on Information Systems & Technology Management, 5, 5025-5042. Doi:10.5748/9788599693148-15CONTECSI/DOCT-5997.
Görener, A. (2012). Comparing AHP and ANP: An application of strategic decision making in a manufacturing company. International Journal of Business and Social Science, 3(11), 194-208. Doi: 10.1016/j.sbspro.2012.09.1139.
Grybowski, A., Starczewski, T. (2020). New look at the inconsistency analysis in the pairwise-comparisons: based prioritization problems. Expert Systems with Applications, 159(2020). Doi: https://doi.org/10.1016/j.eswa.2020.113549.
Grybowski, A., Starczewski, T. (2016). New results on inconsistency indexes and their relationship with the quality of priority vector estimation. Expert Systems Applications, 43, 197-212. Doi: 10.1016/j.eswa.2015.08.049.
Harker, P., Vargas, L. (1987). The theory of ratio scale estimation: Saaty's Analytic Hierarchy Process. The Institute of Management Science, 33(11), 1383-1403. Doi:10.1287/mnsc.33.11.1383.
IBGC (2015a). Código das melhores práticas de governança. 5th ed. São Paulo: Instituto Brasileiro de Governança Corporativa. ISBN: 978-85-99645-38-3 1.
IBGC (2015b). Métrica de governança corporativa empresas de capital fechado. São Paulo: Instituto Brasileiro de Governança Corporativa. ISBN: 978-85-99645-38-3 1.
Instituto Ethos (2013). Indicadores ETHOS para negócios sustentáveis e responsáveis. São Paulo: Instituto Ethos.
Ishizaka, A., Labib, A. (2011). Review of the main developments in the Analytic Hierarchy Process. Expert Systems with Applications, 38(11), 14336-14345. Doi:10.1016/j.eswa.2011.04.143.
Januri, S., Pozi, M., Nadzri, M., Zainuddin, M. (2021). Factors influencing Islamic banking by customers: A case study in Northern Malaysia. International Journal of Academic Research in Business e Social Sciences, 11(7), 720-735. Doi:10.6007/IJARBSS/v11-i7/10530
Kaiser, R., Futami, A., Valentina, L., Oliveira, M. (2019). Development of a managerial tool for prioritization and selection of portfolio projects using the Analytic Hierarchy Process methodology in software companies. Gestão & Produção, 26(4), 1-13. Doi: https://doi.org/10.1590/0104-530X4267-19.
Kamil, K., Ismail, A., Shahimi, S. (2013). Objectives of Islamic banks in the management of asset and liability: a decision process of deriving priority. Proceedings of the International Symposium on the Analytic Hierarchy Process.
Kazibudzki, P. (2017). New results of the quality of recently introduced index for a consistency control of pairwise judgments. Multi Criteria Decision Making, 12, 90-102. Doi: 10.22367/mcdm.2017.12.07.
Kazibudzki, P. (2017). The quality of priority ratios estimation in relation to a selected prioritization procedure and consistency measure for a Pairwise Comparison Matrix. Advances in Operations Research, 2019, 1-24. Doi:10.1155/2019/3574263.
Klozikova J., Dockalikova, I. (2014). Corporate governance rating: Synthesis of rating models of corporate governance with utilization methods AHP and DEMATEL. European Conference on Management, Leadership & Governance.
Koklu, O., Jakubowski, E., Servi, T., Huang, J. (2016). Identifying and interpreting subjective weights for cognitive and performance characteristics of mathematical learning disability: An application of a relative measurement method. The Journal of International Lingual, Social and Educational Sciences, 2(2), 136-151.
Lambert-Torres G., Costa C., Barros, M. & Martins,H. (2007). Processo de Análise Hierárquica Paraconsistente. VI Congress of Logic Applied to Technology, Paper 132. Doi: http://dx.doi.org/10.13140/RG.2.1.2022.6807
Loostsma, F. (1990). The French and the American school in multicriteria decision analysis. Rairo: Recherche Opérationnelle, 24(3), 263-285.
Melo, R.T., Jesus, V. M. (2019). Avaliação 360º dos membros de um conselho de administração pelo método ANP. Revista de Ciência, tecnologia e Inovação, 26(4), 44-53. Doi: https://doi.org/10.1590/0104-530X4267-19.
Neves, R., Pereira, V., Costa, H. (2015). Auxílio multicritério à decisão aplicado ao planejamento e gestão na indústria de petróleo e gás. Scientific Eletronic Library on Line -SCIELO, Associação Brasileira de Engenharia de Produção, 25(1). Doi: https://doi.org/10.1590/S0103-65132013005000060.
Odic, D., Im, H., Eisinger, R., Ly, R., Halberda, J. (2015). PsiMLE: a maximum likelihood estimation approach to estimating psychophysical scaling and variability more reliably, efficiently, and flexibly. Behavior Research Methods, 48, 445-462. Doi: 10.3758/s13428-015-0600-5.
Paiva, B. (2021). Mensuração do grau de maturidade da governança corporativa em cooperativas de crédito pelo método Análise Hierárquica de Processos – AHP. 2018. 154 f. Tese (Doutorado em Administração) – Pontifícia Universidade Católica de São Paulo, São Paulo, 2018. Disponível em: https://tede2.pucsp.br/handle/handle/19566. Acessed on June 20, 2021.
Rodriguez, D. (2016). Autoavaliação da governança de TI em uma autarquia federal com base na gestão de riscos. 2016. 228 f. Dissertação (Mestrado em Computação Aplicada) - Instituto de Ciências Exatas, Departamento de Ciência da Computação, Universidade de Brasília, Brasília.
Saaty, R. (2016). Decision making in complex environments. Pittsburgh, Pennsylvania, USA: Creative Decisions Foundation. ISBN 1-888603-00-3.
Saaty, R.W. (1987). The Analytic Hierarchy Process: what is and how it is used. Mathematical Modeling, 9(3-5), 161-176. Doi:10.1016/0270-0255(87)90473-8.
Saaty, T.L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15(3), 234-281. Doi: https://doi.org/10.1016/0022-2496(77)90033-5.
Saaty, T.L. Transport planning with multiple criteria: The Analytic Hierarchy Process applications and progress review. Journal of Advanced Transportation, 29(1), 81-126. Doi: https://doi.org/10.1002/atr.5670290109.
Saaty, T.L., Vargas, L.G. (2001). The seven pillars of the analytic hierarchy process. In: Models, methods, concepts & applications of the analytic hierarchy process. Boston, MA: Springer, 27-46. (International Series in Operations Research & Management Science; 34). Doi: https://doi.org/10.1007/978-1-4615-1665-1_2.
Salo, A., Hämäläinen, P. (1997). On the measurement of preferences in the Analytic Hierarchy Process. Journal of Multi-Criteria Decision Analysis, 6(6), 309-319. Doi: https://doi.org/10.1002/(SICI)1099-1360(199711)6:6<309::AID-MCDA163>3.0.CO;2-2.
Salo, A., Hämäläinen, P. (1993). Preference programming through approximate rate comparisons. European Journal of Operational Research, 82(3), 458-475.
Santiago, L.P., Soares, V.O. (2018). Strategic alignment of an R&D portfolio by crafting the set of buckets. IEE Transactions of Engineering Management. Doi:10.1109/TEM.2018.2876408.
Starczewski, T. (2016). Relationship between priority ratios disturbances and priority estimation errors. Journal of Applied Mathematics and Computational Mechanics, 15, 143-154. Doi: 10.17512/jamcm.2016.3.14.
Starczewski, T. (2018). Remarks about geometric scale in the Analytic Hierarchy Process. Journal of Applied Mathematics and Computational Mechanics, 17(3), 71-82. Doi: 10.17512/jamcm.2018.3.07.
Subramanian, N., Ramanathan, R. (2012). A review of applications of Analytic Hierarchy Process in operations management. International Journal of Production Economics, 138(2), 215-241. Doi: http://dx.doi.org/10.1016/j.ijpe.2012.03.036
Trindade, J. (2016). Mensuração e avaliação da capacidade inovativa de micro, pequenas e médias empresas: aplicação de métodos multicritério fuzzy de apoio à decisão. 107 f. Dissertação (Mestrado em Qualidade e Inovação) – Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro. Doi: https://doi.org/10.17771/PUCRio.acad.29381.
Tsyganok, V.V., Kadenko, S.V., Andriichuk, O.V. (2012). Significance of expert competence consideration in group decision making using AHP. International Journal of Production Research, 50(17), 4785-4792. Doi: https://doi.org/10.1080/00207543.2012.657967.
Vidal, L.A., Marle, F., Bocquet, J.C. (2011). Using a Delphi process and the Analytic Hierarchy Process (AHP) to evaluate the complexity of projects. Expert Systems with Applications, 38(5), 5388-5405. Doi: https://doi.org/10.1016/j.eswa.2010.10.016.
Wang X., Triantaphyllou, E. (2008). Ranking irregularities when evaluating alternatives by using some ELECTRE methods. Omega – The International Journal of Management Science, 36(1), 46-63, 2008. Doi:10.1016/j.omega.2005.12.003
Watson, R., Freeling, N. (1982). Assessing attribute weights by ratios. Omega,20(6), 582-583 1982. Doi: http://dx.doi.org/10.1016/0305-0483(82)90061-5.
Wegner, R., Battist, I.A., Tontini, J., Malheiros, M., Rossato, V. (2020). Aplicação do método Analytic Hierarchy Process (AHP) na priorização das ações de inovações em serviços em um estudo de multicaso. Navus - Revista de Gestão e Tecnologia, 10, 01-19. Doi:10.22279/navus. 2020. v10.p01-19.1006.
Yrjölä, M. Uncovering executive prioritization: Evaluating customer value propositions with pairwise comparison method. Journal of Service and Science Management, 8, 1-13. Doi: 10.4236/jssm.2015.81001.
Amenta, P., Lucadamo, A., Marcarelli, G. (2018). Approximate thresholds for Salo-Hamalainen Index. IFAC papersOnline, 51(11), 1655-1659. Doi: https://doi.org/10.1016/j.ifacol.2018.08.219.
Araujo, M., Oliveira, E., Monteiro, S. (2017). Avaliação de maturidade de processos de gestão de riscos de TI: ferramenta de apoio para a qualidade e eficiência do processo. Revista Brasileira de Computação Aplicada, 9(2017). Doi: https://doi.org/10.5335/rbca.v9i2.6099.
Atz, F., Gerhard, M., Freitag, V., Vanti, A., et al. (2017). Análise do relacionamento existente entre Governança da Tecnologia da Informação, o gerenciamento de risco corporativo e as funções de Compliance. In: Seminário de Administração. São Paulo: USP, 1-16.
Belton, V., Gear, T. (1985). The legitimacy of rank reversal - a comment. International Journal of Management Science, 13, 143-144. Doi: https://doi.org/10.1016/0305-0483(85)90052-0
Bernasconi, M. Choirat, C., Seri, R. (2009). A re-examination of the algebraic properties of the AHP as ratio-scaling technique. Journal of Mathematical Psychology, 55(2), 152-165. Doi: https://doi.org/10.1016/j.jmp.2010.11.002
Bernasconi, M., Choirat, C., Seri, R. (2010). The Analytic Hierarchy Process and the theory of measurement. Management Science, 56(4), 699-711. Doi: https://www.jstor.org/stable/27784145.
Bezerra, P. (2021). Proposição de um novo modelo para avaliar a sustentabilidade empresarial. 77 f. Dissertação (Mestrado em Administração) – Centro de Humanidades, Universidade Federal de Campina Grande, Campina Grande. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/17903. Acesso em: 20 jun. 2021.
Botelho, M.(2021). A decisão multicritério nos conselhos de administração via análise hierárquica de processos (AHP): análise da inconsistência nas matrizes de comparação par a par nas abordagens de governança corporativa. 106 f. Dissertação (Mestrado em Engenharia e Gestão de Processos e Sistemas) - Instituto de Educação Tecnológica. Doi: https://doi.org/10.19146/pibic-2017-78788
Bozóki, S.; Rapcsák, T. (2008). On Saaty’s and Koczkodaj’s inconsistencies of pairwise comparison matrices. Journal of Global Optimization, 42, 157-17. Doi:10.1007/s10898-007-9236-z.
Brunelli, M. (2018). A survey of inconsistency indexes for pairwise comparisons. International Journal of General Systems, 47(8), 751-771. Doi: https://doi.org/10.1080/03081079.2018.1523156.
Brunelli, M. (2017). Studying a set of properties of inconsistency indexes for pairwise comparisons. Annals of Operations Research, 248, 143-161. Doi: https://doi.org/10.1007/s10479-016-2166-8.
Buede, D.M., Maxwell, D.T. (1995). Rank disagreement: A comparison of Multi-Criteria methodologies. Journal of Multicriteria Decision Analysis, 4(1), 1-21. Doi: https://doi.org/10.1002/mcda.4020040102
Caríssimo, C., Moreira, M., Ornelas, M., Silva, J. (2016). Uso da Análise Hierárquica (AHP) para identificação da preferência de Peritos-Contadores quanto ao método de avaliação de sociedades em perícias contábeis. Revista de Educação e Pesquisa em Contabilidade, 10(1), 44-62. Doi: https://doi.org/10.17524/repec.v10i1.1333.
Cobo, A., Vanti, A., Rocha, R. (2014). A fuzzy multicriteria approach for IT governance evaluation system. Journal of Information Systems and Technology Management, 11(2), 257-276. Doi: 10.4301/S1807-17752014000200003.
Duarte, B. (2019). Maturidade da governança corporativa e gestão dos incentivos fiscais como determinantes da longevidade e desempenho das empresas do polo industrial de Manaus, Biblioteca FACE / UFG LVR 040/2020.
Ellermeier, W., Faulhammer, G. (2000). Empirical evaluation of axioms fundamental to Stevens's ratio-scaling approach: I. Loudness production. Perception & Psychophysics, 62(8), 1505-1511, 2000. Doi: https://doi.org/10.3758/BF03212151.
Emrouznejad, A., Marra, M. (2017). The state of the art development of AHP (1979 - 2017): a literature review with a social network analysis. International Journal of Production Research, 55(22), 6653-6675. Doi: https://doi.org/10.1080/00207543.2017.1334976.
Franeka, J., Krestaa, A. (2014). Judgment scales and consistency measure in AHP. Procedia Economics and Finance, 12(2014), 164-173. Doi: 10.1016/S2212-5671(14)00332-3.
Gass, S., Rapcsá, K. (2001). Models, methods, concepts & applications of the Analytic Hierarchy Process: Singular value decomposition in AHP. International Symposium on the Analytic Hierarchy Process, 6, Berne, Switzerland, 129-130.
Goepel, K. (2018). Comparison of judgement scales of the analytical hierarchy process: a new approach. International Journal of Information Technology and Decision Making, 18(2), 445-463. Doi:10.1142/S0219622019500044.
Gonzáles, P., Vanti, A., Seiber, T. R., Castro, M. (2018). Design de hierarquização multicritério para o aumento da competitividade empresarial. International Conference on Information Systems & Technology Management, 5, 5025-5042. Doi:10.5748/9788599693148-15CONTECSI/DOCT-5997.
Görener, A. (2012). Comparing AHP and ANP: An application of strategic decision making in a manufacturing company. International Journal of Business and Social Science, 3(11), 194-208. Doi: 10.1016/j.sbspro.2012.09.1139.
Grybowski, A., Starczewski, T. (2020). New look at the inconsistency analysis in the pairwise-comparisons: based prioritization problems. Expert Systems with Applications, 159(2020). Doi: https://doi.org/10.1016/j.eswa.2020.113549.
Grybowski, A., Starczewski, T. (2016). New results on inconsistency indexes and their relationship with the quality of priority vector estimation. Expert Systems Applications, 43, 197-212. Doi: 10.1016/j.eswa.2015.08.049.
Harker, P., Vargas, L. (1987). The theory of ratio scale estimation: Saaty's Analytic Hierarchy Process. The Institute of Management Science, 33(11), 1383-1403. Doi:10.1287/mnsc.33.11.1383.
IBGC (2015a). Código das melhores práticas de governança. 5th ed. São Paulo: Instituto Brasileiro de Governança Corporativa. ISBN: 978-85-99645-38-3 1.
IBGC (2015b). Métrica de governança corporativa empresas de capital fechado. São Paulo: Instituto Brasileiro de Governança Corporativa. ISBN: 978-85-99645-38-3 1.
Instituto Ethos (2013). Indicadores ETHOS para negócios sustentáveis e responsáveis. São Paulo: Instituto Ethos.
Ishizaka, A., Labib, A. (2011). Review of the main developments in the Analytic Hierarchy Process. Expert Systems with Applications, 38(11), 14336-14345. Doi:10.1016/j.eswa.2011.04.143.
Januri, S., Pozi, M., Nadzri, M., Zainuddin, M. (2021). Factors influencing Islamic banking by customers: A case study in Northern Malaysia. International Journal of Academic Research in Business e Social Sciences, 11(7), 720-735. Doi:10.6007/IJARBSS/v11-i7/10530
Kaiser, R., Futami, A., Valentina, L., Oliveira, M. (2019). Development of a managerial tool for prioritization and selection of portfolio projects using the Analytic Hierarchy Process methodology in software companies. Gestão & Produção, 26(4), 1-13. Doi: https://doi.org/10.1590/0104-530X4267-19.
Kamil, K., Ismail, A., Shahimi, S. (2013). Objectives of Islamic banks in the management of asset and liability: a decision process of deriving priority. Proceedings of the International Symposium on the Analytic Hierarchy Process.
Kazibudzki, P. (2017). New results of the quality of recently introduced index for a consistency control of pairwise judgments. Multi Criteria Decision Making, 12, 90-102. Doi: 10.22367/mcdm.2017.12.07.
Kazibudzki, P. (2017). The quality of priority ratios estimation in relation to a selected prioritization procedure and consistency measure for a Pairwise Comparison Matrix. Advances in Operations Research, 2019, 1-24. Doi:10.1155/2019/3574263.
Klozikova J., Dockalikova, I. (2014). Corporate governance rating: Synthesis of rating models of corporate governance with utilization methods AHP and DEMATEL. European Conference on Management, Leadership & Governance.
Koklu, O., Jakubowski, E., Servi, T., Huang, J. (2016). Identifying and interpreting subjective weights for cognitive and performance characteristics of mathematical learning disability: An application of a relative measurement method. The Journal of International Lingual, Social and Educational Sciences, 2(2), 136-151.
Lambert-Torres G., Costa C., Barros, M. & Martins,H. (2007). Processo de Análise Hierárquica Paraconsistente. VI Congress of Logic Applied to Technology, Paper 132. Doi: http://dx.doi.org/10.13140/RG.2.1.2022.6807
Loostsma, F. (1990). The French and the American school in multicriteria decision analysis. Rairo: Recherche Opérationnelle, 24(3), 263-285.
Melo, R.T., Jesus, V. M. (2019). Avaliação 360º dos membros de um conselho de administração pelo método ANP. Revista de Ciência, tecnologia e Inovação, 26(4), 44-53. Doi: https://doi.org/10.1590/0104-530X4267-19.
Neves, R., Pereira, V., Costa, H. (2015). Auxílio multicritério à decisão aplicado ao planejamento e gestão na indústria de petróleo e gás. Scientific Eletronic Library on Line -SCIELO, Associação Brasileira de Engenharia de Produção, 25(1). Doi: https://doi.org/10.1590/S0103-65132013005000060.
Odic, D., Im, H., Eisinger, R., Ly, R., Halberda, J. (2015). PsiMLE: a maximum likelihood estimation approach to estimating psychophysical scaling and variability more reliably, efficiently, and flexibly. Behavior Research Methods, 48, 445-462. Doi: 10.3758/s13428-015-0600-5.
Paiva, B. (2021). Mensuração do grau de maturidade da governança corporativa em cooperativas de crédito pelo método Análise Hierárquica de Processos – AHP. 2018. 154 f. Tese (Doutorado em Administração) – Pontifícia Universidade Católica de São Paulo, São Paulo, 2018. Disponível em: https://tede2.pucsp.br/handle/handle/19566. Acessed on June 20, 2021.
Rodriguez, D. (2016). Autoavaliação da governança de TI em uma autarquia federal com base na gestão de riscos. 2016. 228 f. Dissertação (Mestrado em Computação Aplicada) - Instituto de Ciências Exatas, Departamento de Ciência da Computação, Universidade de Brasília, Brasília.
Saaty, R. (2016). Decision making in complex environments. Pittsburgh, Pennsylvania, USA: Creative Decisions Foundation. ISBN 1-888603-00-3.
Saaty, R.W. (1987). The Analytic Hierarchy Process: what is and how it is used. Mathematical Modeling, 9(3-5), 161-176. Doi:10.1016/0270-0255(87)90473-8.
Saaty, T.L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15(3), 234-281. Doi: https://doi.org/10.1016/0022-2496(77)90033-5.
Saaty, T.L. Transport planning with multiple criteria: The Analytic Hierarchy Process applications and progress review. Journal of Advanced Transportation, 29(1), 81-126. Doi: https://doi.org/10.1002/atr.5670290109.
Saaty, T.L., Vargas, L.G. (2001). The seven pillars of the analytic hierarchy process. In: Models, methods, concepts & applications of the analytic hierarchy process. Boston, MA: Springer, 27-46. (International Series in Operations Research & Management Science; 34). Doi: https://doi.org/10.1007/978-1-4615-1665-1_2.
Salo, A., Hämäläinen, P. (1997). On the measurement of preferences in the Analytic Hierarchy Process. Journal of Multi-Criteria Decision Analysis, 6(6), 309-319. Doi: https://doi.org/10.1002/(SICI)1099-1360(199711)6:6<309::AID-MCDA163>3.0.CO;2-2.
Salo, A., Hämäläinen, P. (1993). Preference programming through approximate rate comparisons. European Journal of Operational Research, 82(3), 458-475.
Santiago, L.P., Soares, V.O. (2018). Strategic alignment of an R&D portfolio by crafting the set of buckets. IEE Transactions of Engineering Management. Doi:10.1109/TEM.2018.2876408.
Starczewski, T. (2016). Relationship between priority ratios disturbances and priority estimation errors. Journal of Applied Mathematics and Computational Mechanics, 15, 143-154. Doi: 10.17512/jamcm.2016.3.14.
Starczewski, T. (2018). Remarks about geometric scale in the Analytic Hierarchy Process. Journal of Applied Mathematics and Computational Mechanics, 17(3), 71-82. Doi: 10.17512/jamcm.2018.3.07.
Subramanian, N., Ramanathan, R. (2012). A review of applications of Analytic Hierarchy Process in operations management. International Journal of Production Economics, 138(2), 215-241. Doi: http://dx.doi.org/10.1016/j.ijpe.2012.03.036
Trindade, J. (2016). Mensuração e avaliação da capacidade inovativa de micro, pequenas e médias empresas: aplicação de métodos multicritério fuzzy de apoio à decisão. 107 f. Dissertação (Mestrado em Qualidade e Inovação) – Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro. Doi: https://doi.org/10.17771/PUCRio.acad.29381.
Tsyganok, V.V., Kadenko, S.V., Andriichuk, O.V. (2012). Significance of expert competence consideration in group decision making using AHP. International Journal of Production Research, 50(17), 4785-4792. Doi: https://doi.org/10.1080/00207543.2012.657967.
Vidal, L.A., Marle, F., Bocquet, J.C. (2011). Using a Delphi process and the Analytic Hierarchy Process (AHP) to evaluate the complexity of projects. Expert Systems with Applications, 38(5), 5388-5405. Doi: https://doi.org/10.1016/j.eswa.2010.10.016.
Wang X., Triantaphyllou, E. (2008). Ranking irregularities when evaluating alternatives by using some ELECTRE methods. Omega – The International Journal of Management Science, 36(1), 46-63, 2008. Doi:10.1016/j.omega.2005.12.003
Watson, R., Freeling, N. (1982). Assessing attribute weights by ratios. Omega,20(6), 582-583 1982. Doi: http://dx.doi.org/10.1016/0305-0483(82)90061-5.
Wegner, R., Battist, I.A., Tontini, J., Malheiros, M., Rossato, V. (2020). Aplicação do método Analytic Hierarchy Process (AHP) na priorização das ações de inovações em serviços em um estudo de multicaso. Navus - Revista de Gestão e Tecnologia, 10, 01-19. Doi:10.22279/navus. 2020. v10.p01-19.1006.
Yrjölä, M. Uncovering executive prioritization: Evaluating customer value propositions with pairwise comparison method. Journal of Service and Science Management, 8, 1-13. Doi: 10.4236/jssm.2015.81001.
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