Application and comparison of multi-criteria decision support methods: AHP, TODIM and PROMETHEE II

Authors

DOI:

https://doi.org/10.5585/exactaep.2021.17531

Keywords:

Multi-criteria methods. AHP. TODIM. PROMETHEE II.

Abstract

One of the criticisms about multi-criteria methods is that different techniques could produce discordant results when applied to the same problem. In this context, the aim of this research is to compare the methods of multiple-criteria decision making AHP, TODIM and PROMETHEE II. To achieve this goal, the methods were applied to a software selection process through seven qualified suppliers. In addition to verifying and comparing the consistency of the results, using groups with 3, 7 and 11 criteria, this study also presents a perception of the applicability, complexity, and laborability required of the user regarding to the execution of the methods. Although the three methods are based on different paradigms, the application methodology allowed the identification of individual characteristics and positive and negative points of one method over the other. With respect to the consistency of the results, it was verified the occurrence of some inversions in the order of classification of the suppliers.

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Author Biographies

Glauber Roger Neves, Centro Estadual de Educação Tecnológica Paula Souza – CEETEPS

Doutorando do programa de Pós Graduação em Engenharia de Produção.

Antonio César Galhardi, Centro Estadual de Educação Tecnológica Paula Souza

Professor do Programa de Mestrado Profissional em Gestão e Tecnologia em Sistems produtivos

Wagner Cezar Lucato, Universidade Nove de Julho - UNINOVE. São Paulo, SP.

Doutorado em Engenharia de Produção (Conceito CAPES 4) . Universidade Metodista de Piracicaba, UNIMEP, Brasil.

References

Anojkumar, L., Ilangkumaran, M., & Sasirekha, V. (2014). Comparative analysis of MCDM methods for pipe material selection in sugar industry. Expert systems with applications, 41(6), 2964-2980. DOI: https://doi.org/10.1016/j.eswa.2013.10.028

Bana e Costa, C. A., & Vansnick, J. C. (2008). A critical analysis of the eigenvalue method used to derive priorities in AHP. European Journal of Operational Research, 187(3), 1422-1428. DOI: https://doi.org/10.1016/j.ejor.2006.09.022

Belton, V., & Gear, T. (1983). On a short-coming of Saaty's method of analytic hierarchies. Omega, 11(3), 228-230. DOI: https://doi.org/10.1016/0305-0483(83)90047-6

Bhushan, N. e Rai, K. (2004). Strategic decision making: applying the analytic hierarchy process. London; New York: Springer. Disponível em: https://link.springer.com/book/10.1007/b97668

Brans, J. P., & Mareschal, B. (2005). PROMETHEE methods, in ‘Multiple Criteria Decision Analysis: State of the Art Surveys’. Springer, New York, 163-186. DOI: https://doi.org/10.1007/0-387-23081-5_5

Dehghani, H., Siami, A., & Haghi, P. (2017). A new model for mining method selection based on grey and TODIM methods. Journal of Mining and Environment, 8(1), 49-60. DOI: 10.22044/jme.2016.626

Doukas, H., Patlitzianas, K. D., & Psarras, J. (2006). Supporting sustainable electricity technologies in Greece using MCDM. Resources Policy, 31(2), 129-136. DOI: https://doi.org/10.1016/j.resourpol.2006.09.003

Dulmin, R., & Mininno, V. (2003). Supplier selection using a multi-criteria decision aid method. Journal of purchasing and supply management, 9(4), 177-187. DOI: 10.1016/S1478-4092(03)00032-3

Efe, B. (2016). An integrated fuzzy multi criteria group decision making approach for ERP system selection. Applied Soft Computing, 38, 106-117. DOI: 10.1016/j.asoc.2015.09.037

Flament, M. (1999). Glosario multicriterio. España: Red Iberoamericana de Evaluación y Decisión Multicriterio. Disponível em: http://www.unesco.org.uy/red-m/glosariom.htm

Gomes, L. F. A. M. (2007). Teoria da decisão. São Paulo: Thomson. Disponível em: https://www.travessa.com.br/teoria-da-decisao-1-ed-2007/artigo/3dff5e01-2a1d-4ce5-ab9c-237b8c8d096b

Gomes, L. F. A. M., & Rangel, L. A. D. (2009). An application of the TODIM method to the multicriteria rental evaluation of residential properties. European Journal of Operational Research, 193(1), 204-211. DOI: https://doi.org/10.1016/j.ejor.2007.10.046

Gurbuz, T., Alptekin, S. E., & Alptekin, G. I. (2012). A hybrid MCDM methodology for ERP selection problem with interacting criteria. Decision Support Systems, 54(1), 206-214. DOI: https://doi.org/10.1016/j.dss.2012.05.006

Ho, W., Xu, X., & Dey, P. K. (2010). Multi-criteria decision making approaches for supplier evaluation and selection: A literature review. European Journal of operational research, 202(1), 16-24. DOI: https://doi.org/10.1016/j.ejor.2009.05.009

Hodgett, R. E. (2016). Comparison of multi-criteria decision-making methods for equipment selection. The International Journal of Advanced Manufacturing Technology, 85(5-8), 1145-1157. DOI:

https://doi.org/10.1007/s00170-015-7993-2

Ishizaka, A., & Labib, A. (2009). Analytic hierarchy process and expert choice: Benefits and limitations. Or Insight, 22(4), 201-220. DOI: https://doi.org/10.1057/ori.2009.10

Ishizaka, A., & Nemery, P. (2013). Multi-criteria decision analysis: methods and software. John Wiley & Sons. DOI: 10.1002/9781118644898

Kahneman, D. & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica: Journal of the econometric society, 263-291. DOI: https://doi.org/10.2307/1914185

Kilic, H. S., Zaim, S., & Delen, D. (2015). Selecting “The Best” ERP system for SMEs using a combination of ANP and PROMETHEE methods. Expert Systems with Applications, 42(5), 2343-2352. DOI: 10.1016/j.eswa.2014.10.034

Lim, M. C., Ayoko, G. A., Morawska, L., Ristovski, Z. D., & Jayaratne, E. R. (2007). Influence of fuel composition on polycyclic aromatic hydrocarbon emissions from a fleet of in-service passenger cars. Atmospheric Environment, 41(1), 150-160. DOI: https://doi.org/10.1016/j.atmosenv.2006.07.044

Lima Junior, F. R. (2013). Comparação entre os métodos Fuzzy TOPSIS e Fuzzy AHP no apoio à tomada de decisão para seleção de fornecedores. Master's Dissertation, Escola de Engenharia de São Carlos, University of São Paulo, São Carlos. . Disponível em: https://teses.usp.br/teses/disponiveis/18/18156/tde-12092013-103003/publico/FranciscoDEFINITIVO.pdf

Longaray, A. A., POPIOLEK Jr, T. L., Munhoz, P. R., Geri, F. S., & Castelli, T. M. (2015). Caracterização da produção científica brasileira sobre a aplicação de métodos multicritério de apoio à decisão: uma análise das publicações entre 2004–2013. XXXV Encontro Nacional de Engenharia de Produção. DOI: https://doi.org/10.47059/geintecmagazine.v7i3.949

Muralidharan, C., Anantharaman, N., & Deshmukh, S. G. (2002). A multi‐criteria group decision making model for supplier rating. Journal of supply chain management, 38(3), 22-33. DOI: https://doi.org/10.1111/j.1745-493X.2002.tb00140.x

Noronha, S. M. D. (1998). Um modelo multicritérios para apoiar a decisão da escolha do combustível para alimentação de caldeiras usadas na indústria têxtil. Dissertação (Mestrado em Engenharia de Produção), Florianópolis, UFSC. Disponível em: https://repositorio.ufsc.br/xmlui/bitstream/handle/123456789/77755/139137.pdf?sequence=1&isAllowed=y

Önüt, S., Kara, S. S., & Işik, E. (2009). Long term supplier selection using a combined fuzzy MCDM approach: A case study for a telecommunication company. Expert systems with applications, 36(2), 3887-3895. DOI: 10.1016/j.eswa.2008.02.045

Padovani, M., Carvalho, M. M. D., & Muscat, A. R. N. (2010). Seleção e alocação de recursos em portfólio de projetos: estudo de caso no setor químico. Gestão & Produção, 17(1), 157-180. DOI: 10.1590/S0104-530X2010000100013

Passos, A. C., & Gomes, L. F. A. M. (2005). Enfoque multicritério à teoria das prospectivas: fundamentos e aplicação. Revista de Administração Mackenzie (Mackenzie Management Review), 6(1). Disponível em: http://www.spell.org.br/documentos/ver/11485/enfoque-multicriterio-a-teoria-das-prospectivas--fundamentos-e-aplicacao/i/pt-br

Qaradaghi, M. (2016). Investigation of Multi-Criteria Decision Consistency: A Triplex Approach to Optimal Oilfield Portfolio Investment Decisions (Doctoral dissertation, The George Washington University). Disponível em: https://www.proquest.com/openview/7702f4e396c67c5fc525be195b9f8a39/1?pq-origsite=gscholar&cbl=18750

Rangel, L. A. D., & Gomes, L. F. A. M. (2007). Determinação do valor de referência do aluguel de imóveis residenciais empregando o método TODIM. Pesquisa Operacional, 27(2), 357-372. DOI: 10.1590/S0101-74382007000200009

Ribeiro, L. D. S., Passos, A. C., & Teixeira, M. G. (2012). Seleção de tecnologias de comunicações no exército brasileiro utilizando os métodos multicritério de análise hierárquica, TODIM e software Sapiens. Production, 22(1), 132-141. DOI: http://dx.doi.org/10.1590/S0103-65132011005000063

Saaty, T. L. (1980). The Analytic Hierarchy Process: Planning, Priority Setting, Resources Allocation. McGraw: New York. DOI: https://doi.org/10.1016/0377-2217(82)90022-4

Selmi, M., Kormi, T., & Ali, N. B. H. (2013). Comparing multi-criteria decision aid methods through a ranking stability index. International Conference on Modeling, Simulation and Applied Optimization, IEEE, 1-5. DOI: 10.1109/ICMSAO.2013.6552593

Sen, D. K., Datta, S., & Mahapatra, S. S. (2016). Application of TODIM (Tomada de Decisión Inerativa Multicritero) for industrial robot selection. Benchmarking: An International Journal, 23(7), 1818-1833. DOI: 10.1108/BIJ-07-2015-0078

Trendowicz, A. & Kopczyńska, S. (2014). Adapting Multi-Criteria Decision Analysis for Assessing the Quality of Software Products. Current Approaches and Future Perspectives. Advances in Computers. 93, 153-226. DOI: https://doi.org/10.1016/B978-0-12-800162-2.00004-X

Zindani, D., Maity, S. R., Bhowmik, S., & Chakraborty, S. (2017). A material selection approach using the TODIM (Tomada de Decisao Interativa Multicriterio) method and its analysis. International Journal of Materials Research, 108(5), 345-354. DOI: 10.3139/146.111489

Published

2022-01-21

How to Cite

Neves, G. R., Galhardi, A. C., & Lucato, W. C. (2022). Application and comparison of multi-criteria decision support methods: AHP, TODIM and PROMETHEE II. Exacta, 20(1), 218–233. https://doi.org/10.5585/exactaep.2021.17531