Estudo sobre a premiação das áreas de segurança pública no Rio de Janeiro via método multicritério: uma aplicação do método Electre III
DOI:
https://doi.org/10.5585/exactaep.v18n1.8725Palavras-chave:
MCDA, ELECTRE III, Segurança pública, J-Electre.Resumo
O presente estudo aplicou um multi-criteria decision analysis (MCDA) para obtenção do ranking das Áreas Integradas de Segurança Pública (AISP), para fins de premiação pelo Sistema Integrado de Metas (SIM). A aplicação de um MCDA teve o objetivo de eliminar o efeito compensatório dos critérios, evitando que o sucesso em um critério compensasse o fracasso em outro. O método escolhido foi ELECTRE III (ELimination Et Choix Traduisant la REalité), pois o problema em análise adequava-se ao tipo (P.γ). Quantos aos fins, a metodologia pode ser classificada como metodológica e aplicada e quanto aos meios, bibliográfica, documental e de laboratório. Os dados foram obtidos em colaboração com a Polícia Militar do Estado do Rio de Janeiro, em janeiro de 2017, referindo-se à 12ª edição de premiação do SIM, ocorrida no primeiro semestre de 2015. A escolha desta edição deu-se pelo fato de ser a única em que onze AISPs empataram em primeiro lugar. Para efeito de geração das matrizes de concordância, discordância, credibilidade, ranking parcial e final, foi utilizado o software J-Electre. Como resultado da aplicação do método ELECTRE III, obteve-se um ranking sem empate entre as três primeiras colocações. A eliminação do efeito compensatório pode ser percebida comparando-se os resultados obtidos pelo SIM versus o ELECTRE III, onde a ordem de classificação das unidades foi alterada em 94,87%.
Downloads
Referências
Adler, N., Hakkert, A. S., Raviv, T., & Sher, M. (05 de jun de 2014). The Traffic Police Location and Schedule Assignment Problem. Journal of Multi-Criteria Decision Analysis, 21, pp. 315-333. https://dx.doi.org/10.1002/mcda.1522.
Aher, S., Shinde, S., Guha, S., & Majumder, M. (2017). Identification of drought in Dhalai river watershed using MCDM and ANN models. Journal of Earth System Science, 126(2).
Almeida-Dias, J., Figueira, J., & Roy, B. (2012). A multiple criteria sorting method where each category is characterized by several reference actions: The ELECTRE TRI-nC method. European Journal of Operational Research, 217(3), pp. 567-579.
Almeira-Dias, J., Figueira, J., & Roy, B. (2010). ELECTRE TRI-C: A multiple criteria sorting method basead an characteristic reference actions. European Journal of Operational Research, 204(3), pp. 565-580.
Amendola, K. L., Weisburd, D., Hamilton, E. E., Jones, G., & Slipka, M. (2011). An experimental study of compressed work schedules in policing: Advantages and disadvantages of various shift lengths. Journal of Experimental Criminology, 7(4), pp. 407-442. https://dx.doi.org/10.1007/s11292-011-9135-7.
Angelis, A., & Kanavos, P. (2017). Multiple Criteria Decision Analysis (MCDA) for evaluating new medicines in Health Technology Assessment and beyond: The Advance Value Framework. Social Science & Medicine, 188, 137-156.
Angelo, A. C., Saraiva, A. B., Clímaco, J. C., Infante, C. E., & Valle, R. (2017). Life Cycle Assessment and Multi-criteria Decision Analysis: Selection of a strategy for domestic food waste management in Rio de Janeiro. Journal of Cleaner Production, 143, 744-756. https://doi.org/10.1016/j.jclepro.2016.12.049.
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. https://doi.org/10.1016/j.eswa.2013.10.028.
Ashari, H. E., & Parsaei, M. (2014). Application of the multi-criteria decision method ELECTRE III for the Weapon selection. Decision Science Letters, 3, pp. 511–522.
Ayag, Z. (2016). A fuzzy ANP approach to evaluate computer simulation packages. International Journal of Business and Systems Research, 10(2-4), 332-345.
Azarnivand, A., & Malekian, A. (2016). Analysis of flood risk management strategies based on a group decision making process via interval-valued intuitionistic fuzzy numbers. Water Resources Management, 30(6), 1903-1921.
Bahadori, M. k., Abolghasemi, K., & Teymourzadeh, E. (2017). Performance evaluation and ranking of selective wards in a military hospital using DEA and promethee method. Journal of Military Medicine, 18(4), pp. 325-334.
Basilio, M. P., de Freitas, J. G., Kämpffe, M. G., & Bordeaux-Rego, R. (2018). Investment portfolio formation via multicriteria decision aid: a brazilian stock market study. Journal of Modelling in Management, 13(2), pp. 394-417. https://doi.org/10.1108/JM2-02-2017-0021.
Basilio, M. P., Pereira, V., & Costa, H. G. (2017). Review of the literature on multicriteria methods applied in the field of public security. Universal Journal of Management, 5(12), pp. 549-562. https://doi.org/10.13189/ujm.2017.051202.
Basilio, M. P., Pereira, V., & Costa, H. G. (2018). Classifying the integrated public safety areas (IPSAs) : a multi-criteria based approach. Journal of Modelling in Management, pp. https://doi.org/10.1108/JM2-01-2018-0001.
Behzadian, M., Kazemzadeh, R. B., Albadvi, A., & Aghdasi, M. (2010). PROMETHEE: A comprehensive literature review on methodologies and applications. European Journal of Operational Research, 200, 198-215.
Behzadian, M., Otaghsara, S. K., Yazdani, M., & Ignatius, J. (2012). A state-of the-art survey of TOPSIS applications. Expert Systems with Applications, 39(17), 13051-13065.
Belton, V., & Stewart, T. (2002). Multiple criteria decision analysis: an integrated approach. Boston: Kluwer Academic Publishers.
Benayoun, R., Roy, B., & Sussman, N. (1966). Manual de Reference du Programme Electre. 25. Paris, France: Note De Synthese et Formaton.
Bernabeu, Y. A. (1980). Manuel D´utilisation du programe ELECTRE III. Cahier du LAMSADE, 35, pp. 1-41.
Blanco, G., Amarilla, R., Martinez, A., Llamosas, C., & Oxilia, V. (2017). Energy transitions and emerging economies: A multi-criteria analysis of policy options for hydropower surplus utilization in Paraguay. Energy Policy, 108, 312-321.
Bouranta, N., Siskos, Y., & Tsotsolas, N. (2015). Measuring police officer and citizen satisfaction: comparative analysis. Policing, 38(4), pp. 705-721. https://dx.doi.org/10.1108/PIJPSM-01-2015-0008.
Camacho-Collados, M., & Liberatore, F. (2015). A Decision Support System for predictive police patrolling. Decision Support Systems, 75, pp. 25-37. https://dx.doi.org/10.1016/j.dss.2015.04.012.
Camacho-Collados, M., Liberatore, F., & Angulo, J. M. (2015). A multi-criteria Police Districting Problem for the efficient and effective design of patrol sector. European Journal of Operational Research, 246(2), pp. 674-684. https://dx.doi.org/10.1016/j.ejor.2015.05.023.
Chen, C. W., Lee, C. C., Tseng, C. P., & Chen, C. H. (2013). Application of GIS for the determination of hazard hotspots after direct transportation linkages between Taiwan and China. Natural Hazards, 66(2), pp. 191-228. https://dx.doi.org/10.1007/s1106.
Chen, F., Wang, J., & Deng, Y. (2015). Road safety risk evaluation by means of improved entropy TOPSIS-RSR. Safety Science, 79, pp. 39-54. https://dx.doi.org/10.1016/j.ssci.2015.05.006.
Cid-López, A., Hornos, M. J., Carrasco, R. A., & Herrera-Viedma, E. (2016). Applying a linguistic multi-criteria decision-making model to the analysis of ICT suppliers' offers. Expert Systems with Applications, 57, 127-138.
De Paula Silva, C. J., Moura, A. C., Paiva, P. C., Ferreira, R. C., Silvestrini, R. A., Vargas, A. M., . . . Ferreira E Ferreira, E. (2015). Maxillofacial injuries as markers of interpersonal violence in belo Horizonte-Brazil: Analysis of the socio-spatial vulnerability of the location of victim's residences. PLoS ONE, 10(8), p. Art. n. e0134577. https://dx.doi.org/10.1371/journal.pone.0134.
Decreto-n.41.930. (25 de junho de 2009). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
Decreto-n.41.931. (25 de junho de 2009). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
Decreto-n.42.243. (15 de janeiro de 2010). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
Decreto-n.42.812. (19 de janeiro de 2011). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
Decreto-n.43.055. (01 de julho de 2011). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
Decreto-n.43056. (01 de julho de 2011). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
Decreto-n.44.348. (23 de agosto de 2013). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
Decreto-n.45.566. (28 de janeiro de 2016). DOERJ. Rio de Janeiro, RJ, Brasil: Casa Civil.
di Bella, E., Corsi, M., & Leporatti, L. (2014). A Multi-indicator Approach for Smart Security Policy Making. Social Indicators Research, 122(3), pp. 653-675. https://dx.doi.org/10.1007/s11205-014-0714-7.
Diaby, V., Campbell, K., & Goeree, R. (2013). Multi-criteria decision analysis (MCDA) in health care: A bibliometric analysis. Operations Research for Health Care, 2(1-2), 20-24.
Durbach, I. N., & Stewart, T. J. (2012). Modeling uncertainty in multi-criteria decision analysis. European Journal of Operational Research, 223(1), 1-14.
Felice, F., Deldoost, M. H., Faizollahi, M., & Petrillo, A. (2015). Performance Measurement Model for the Supplier Selection Based on AHP. International Journal of Engineering Business Management, 7, 1-13.
Figueira, J., Greco, S., Roy, B., & Slowinski, R. (2010). ELECTRE methods: Main features and recent developments. Em P. M. PARDALOS, D. HEARN, & C. ZOPOUNIDIS, Handbook of multicriteria analysis: aplied optimization (pp. 51-89). Berlin: Springer.
Figueira, J., Greco, S., Roy, B., & Słowiński, R. (2013). An Overview of ELECTRE Methods and their Recent Extensions. Journal of Multi-Criteria Decision Analysis, 20(1-2), 61-85.
Figueira, J., Mousseou, V., & Roy, B. (2005). ELECTRE methods. Em J. FIGUEIRA, S. GRECO, & M. EHRGOTT, Multiple criteria decision analysis: State of the art Survey (pp. 133-153). New York: Springer.
Figueiredo, C. J., & Mota, C. M. (2016). A classification model to evaluate the security level in a city based on GIS-MCDA. Mathematical Problems in Engineering, 2016(Art. nº 3534824), p. https://dx.doi.org/10.1155/2016/3534824.
Franco, C., Bojesen, M., Hougaard, J. L., & Nielsen, K. (2015). A fuzzy approach to a multiple criteria and Geographical Information System for decision support on suitable locations for biogas plants. Applied Energy, 140, 304-315.
Giannoulis, C., & Ishizaka, A. (2010). A Web-based Decision Support System with ELECTRE III for a Personalised Ranking of British Universities. Decision Support Systems, 48(3), pp. 488–497.
Gigović, L., Pamučar, D., Bajić, Z., & Drobnjak, S. (2017). Application of GIS-Interval Rough AHP Methodology for Flood Hazard Mapping in Urban Areas. Water, 9(6), 360.
Govindan, K., & Jepsen, M. B. (2016). ELECTRE: A comprehensive literature review on methodologies and applications. European Journal of Operational Research, 250, pp. 1-29.
Gupta, M., Chandra, B., & Gupta, M. P. (2014). A framework of intelligent decision support system for Indian police. Journal of Enterprise Information Management, 27(5), pp. 512-540. https://dx.doi.org/10.1108/JEIM-10-2012-0073.
Gurgel, A. M., & Mota, C. M. (2013). A multicriteria prioritization model to support public safety planning. Pesquisa Operacional, 33(2), pp. 251-267. https://dx.doi.org/10.1590/S0101-74382013000200007.
Hodgett, R. E. (2016). Comparison of multi-criteria decision-making methods for equipment selection. The International Journal of Advanced Manufacturing Technology, 85(5), pp. 1145–1157. doi:10.1007/s00170-015-7993-2.
Hosseinzade, Z., Pagsuyoin, S. A., Ponnambalam, K., & Monem, M. J. (2017). Decision-making in irrigation networks: Selecting appropriate canal structures using multi-attribute decision analysis. Science of The Total Environment, 601-602, 177-185.
Hu, S.-K., Lu, M.-T., & Tzeng, G.-H. (2015). Improving Mobile Commerce Adoption Using a New Hybrid Fuzzy MADM Model. International Journal of Fuzzy Systems, 17(8), 399-413.
Huang, I. B., Keisler, J., & Linkov, I. (2011). Multi-criteria decision analysis in environmental sciences: Ten years of applications and trends. Science of the Total Environment, 409(19), 3578-3594.
Huda, S., Sarno, R., & Ahmad, T. (2015). Fuzzy MADM approach for rating of process-based fraud. Journal of ICT Research and Applications, 9(2), 111-128.
Hwang, C. L., & Yoon, K. (1981). Multiple attribute decision making: methods and applications, a state-of-the-art survey. New York: Spring-Verlay.
Infante, C. E., Mendonça, F. M., & Valle, R. A. (2014). Análise de robustez com o método Electre III: o caso da região de Campo das Vertentes em Minas Gerais. Gestão & Produção, 21(2), pp. 245-255.
Ishizaka , A., & Pereira , V. E. (2016). Portraying an employee performance management system based on multi-criteria decision analysis and visual techniques. International Journal of Manpower, 37(4), 628-659. https://doi-org.ez24.periodicos.capes.gov.br/10.1108/IJM-07-2014-0149.
Janstrup, K., Kaplan, S., Barfod, M., & Prato, C. (2017). Evaluating the police service quality for handling traffic crash reporting: A combined MCDA and LCA approach. Policing: An International Journal of Police Strategies & Management, 40(2), 410-425. https://doi-org.ez24.periodicos.capes.gov.br/10.1108/PIJPSM-03-2016-0032.
Jozi, S. A., Shoshtory, M. T., & Zadeh, A. R. (2015). Environmental Risk Assessment of Dams in Construction Phase Using a Multi-Criteria Decision-Making (MCDM) Method. Human and Ecological Risk Assessment: An International Journal, 21(1), 1-16.
Kahraman, C., Onar, S. C., & Oztaysi, B. (2015). Fuzzy Multicriteria Decision-Making: A Literature Review. International Journal of Computational Intelligence Systems, 8(4), 637-666.
Karlson, M., Karlsson, C. S., Mörtberg, U., Olofsson, B., & Balfors, B. (2016). Design and evaluation of railway corridors based on spatial ecological and geological criteria. Transportation Research Part D: Transport and Environment, 46, 207-228.
Karvetski, C. W., Lambert, J. H., & Linkovz, I. (2011). Scenario and multiple criteria decision analysis for energy and environmental security of military and industrial installations. Integrated Environmental Assessment and Management, 7(2), pp. 228-236. https://dx.doi.org/10.1002/ieam.137.
Kim, Y., & Chung, E. S. (2013). Assessing climate change vulnerability with group multi-criteria decision making approaches. Climatic Change, 121(2), 301-315.
Lau, H. C., Ho, G. T., Zhao, Y., & Hon, W. T. (2010). Optimizing patrol force deployment using a genetic algorithm. Expert Systems with Applications, 37(12), pp. 8148-8154. https://dx.doi.org/10.1016/j.eswa.2010.05.073.
Leoneti, A. B. (2016). Considerations regarding the choice of ranking multiple criteria decision making methods. Pesquisa Operacional, 36(2), pp. 259-277. https://dx.doi.org/10.1590/0101-7438.2016.036.02.0259.
Liberatore, F., & Camacho-Collados, M. (2016). A Comparison of Local Search Methods for the Multicriteria Police Districting Problem on Graph. Mathematical Problems in Engineering, 2016(Art. nº 3690474), p. https://dx.doi.org/10.1155/2016/3690474.
Linkov, I., & Seager, T. P. (2011). Coupling multi-criteria decision analysis, life-cycle assessment, and risk assessment for emerging threats. Environmental Science and Technology, 45(12), 5068-5074.
Linkov, I., Bates, M. E., Canis, L. J., Seager, T. P., & Keisler, J. M. (2011). A decision-directed approach for prioritizing research into the impact of nanomaterials on the environment and human health. Nature Nanotechnology, 6(12), 784-787.
Linkov, I., Trump, B., Jin, D., Mazurczak, M., & Schreurs, M. (2014). A decision-analytic approach to predict state regulation of hydraulic fracturing. Environmental Sciences Europe, 26(1).
Lopez, J. C., Noriega, J. J., & Chavira, D. A. (2017). A Multi-Criteria Approach to Rank the Municipalities of the States of Mexico by its Marginalization Level: The Case of Jalisco. International Journal of Information Technology & Decision Making, 16(2), pp. 473-513. http://dx.doi.org/10.1142/S0219622017500080.
Maimoun, M., Madani, K., & Reinhart, D. (2016). Multi-level multi-criteria analysis of alternative fuels for waste collection vehicles in the United States. Science of the Total Environment, 550, 349-361.
Manning, M., Smith, C., & Homel, R. (2013). Overview of: "Valuing developmental crime prevention". Criminology and Public Policy, 12(2), pp. https://dx.doi.org/10.1111/1745-9133.12023.
Mendoza, G. A., & Martins, H. (15 de July de 2006). Multi-criteria decision analysis in natural resource management: A critical review of methods and new modelling paradigms. Forest Ecology and Management, 230(1-3), pp. 1-22. https://doi.org/10.1016/j.foreco.2006.03.023.
Mignelli, C., Pomarico, S., & Peila, D. (2013). Use of multi-criteria model to compare devices for the protection of roads against Rockfall . Environmental and Engineering Geoscience, 19(3), pp. 289-302. https://dx.doi.org/10.2113/gseegeosci.19.3.289.
Montazer, G. A., Saremi, H. Q., & Ramezani, M. (2009). Design a new mixed expert decision aiding system using fuzzy ELECTRE III method for vendor selection. Expert Systems with Applications, 36(8), pp. 10837-10847.
Mousavi-Nasab, S. H., & Sotoudeh-Anvari, A. (2017). A comprehensive MCDM-based approach using TOPSIS, COPRAS and DEA as an auxiliary tool for material selection problems. Materials and Design, 121, pp. 237-253.
Mühlbacher, A. C., & Kaczynski, A. (2016). Making good decisions in healthcare with multi-criteria decision analysis: The use, current research and future development of MCDA. Applied Health Economics and Health Policy, 14(1), 29-40.
Nutt, D. J., King, L. A., & Phillips, L. D. (2010). Drug harms in the UK: A multicriteria decision analysis. The Lancet, 376(9752), pp. 1558-1565. https://dx.doi.org/10.1016/S0140-6736(10)61462-6.
Özdemir, Ü., & Güneroğlu, A. (2015). Strategic approach model for investigating the cause of maritime accidents [Stratejik bir model yaklaşimi ile deniz kaza sebeplerinin araştirilmasi]. Promet - Traffic – Traffico, 27(2), pp. 113-123. https://dx.doi.org/10.7307/ptt.v27i2.1461.
Pape, T. (2016). Prioritising data items for business analytics: Framework and application to human resources. European Journal of Operational Research, 252(2), 687-698.
Pereira, V., Costa, H. G., & Nepomuceno, L. D. (2016). J-Electre (V.1.0) (software). Niteroí, RJ, Brazil.
Potić, I., Golić, R., & Joksimović, T. (2016). Analysis of insolation potential of Knjaževac Municipality (Serbia) using multi-criteria approach. Renewable and Sustainable Energy Reviews, 56, 235-245.
Resolução n° 305. (13 de janeiro de 2010). DOERJ. Rio de Janeiro, Rj, Brasil: Secretaria de Estado de Segurança.
Roy, B. (1968). Classement et choix en présence de points de vue multiples (la méthode ELECTRE). RIRO, 8, pp. 57-75.
Roy, B. (1978). ELECTRE III: Un algorithme de classement fondé sur une représentation floue des préférences en présence de critères multiples. Cahiers du CERO, 20, pp. 3-24.
Roy, B. (1990). Decision-aid and decision-making. European Journal of Operational Research, 45(2-3), pp. 324-331.
Roy, B., & Bouyssou, D. (1993). Aide multicritère à La décision: méthodes et cãs. Paris: Ed. Economica.
Roy, B., & Slowinski, R. (Mars de 2013). Questions guiding the choice of a multicriteria decision aiding method. Cahiers du LAMSADE, Nº 337.
Roy, B., & Bertier, P. (1971). La methode ELECTRE II: Une methode de classement en presence de critteres multiples. SEMA (Metra International), Direction Scientifique, Note de Travail No. 142, Paris.
Roy, B., & Hugonnard, J. C. (1982). Classement des prolongements de métro en banlieue parisienne(Présentation d´une méthode multicritère originale). Cahiers du CERO, 23, 153-171.
Roy, B., & Slowinski, R. (1984). ELECTRE IS - Aspects méthodologiques et guide d´utilisation. Cahiers du LAMSADE, 30, 125p.
Sakthivel, G., Ilangkumaran, M., & Gaikwad, A. (2014). A hybrid multi-criteria decision modeling approach for the best biodiesel blend selection based on ANP-TOPSIS analysis. Ain Shams Engineering Journal, 6(1), 239-256.
Schmitz, S., McCullagh, L., Adams, R., Barry, M., & Walsh, C. (2016). Identifying and revealing the importance of decision-making criteria for health technology assessment: A retrospective analysis of reimbursement recommendations in Ireland. PharmacoEconomics, 34(9), 925-937.
Scholten, L., Maurer, M., & Lienert, J. (2017). Comparing multi-criteria decision analysis and integrated assessment to support long-term water supply planning. PLoS ONE, 12(5), https://doi.org/10.1371/journal.pone.0176663.
Shen, J., Lu, H., Zhang, Y., Song, X., & He, L. (2016). Vulnerability assessment of urban ecosystems driven by water resources, human health and atmospheric environment. Journal of Hydrology, 536, 457-470.
Shen, K.-Y., Hu, S.-K., & Tzeng, G.-H. (2017). Financial modeling and improvement planning for the life insurance industry by using a rough knowledge based hybrid MCDM model. Information Sciences, 375, 296-313. https://doi.org/10.1016/j.ins.2016.09.055.
Shmelev, S. E., & Van Den Bergh, J. (2016). Optimal diversity of renewable energy alternatives under multiple criteria: An application to the UK. Renewable and Sustainable Energy Reviews, 60, 679-691.
Singh, B., Grover, S., & Singh, V. (2017). An empirical study of benchmarking evaluation using MCDM in service industries. Managerial Auditing Journal, 32(2), 111-147. https://doi-org.ez24.periodicos.capes.gov.br/10.1108/MAJ-11-2015-1274.
Trestian, R., Ormond, O., & Muntean, G.-M. (2015). Performance evaluation of MADM-based methods for network selection in a multimedia wireless environment. Wireless Networks, 21(5), 1745-1763.
Triantaphyllou, E. (2000). Multi-criteria decision making methods: a comparative study. Dordrecht: Springer Science+Business Media.
Vaidya, O., & Kumar, S. (2006). Analytic hierarchy process: An overview of applications. European Journal of Operational Research, 169(1), 1-29. https://doi.org/10.1016/j.ejor.2004.04.028.
Vallée, D., & Zielniewicz, P. (1994). ELECTRE III-IV version 3.x: aspects méthodologiques (tome 1). Université Paris-Dauphine, Laboratoire d´Analyse et Modélisation de Systèmes pour l´Aide à la Décision. Paris: Document du LAMSADE Nº 85.
Velasquez, M., & Hester, P. T. (2013). An analysis of multi-criteria decision making methods. International Journal of Operations Research, 10(2), 56-66.
Vincke, P. (1992). Multicriteria decision-aid. John Wiley & Sons.
Wallenius, J., Dyer, J., Fishburn, P., Steuer, R., Zionts, S., & Deb, K. (2008). Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead. Management Science, 54(7), 1336-1349.
Wan, S. P., Xu, G. l., & Dong, J. Y. (2017). Supplier selection using ANP and ELECTRE II in interval 2-tuple linguistic environment. Information Sciences, 385-386, pp. 19-38.
Wang, J. J., Jing, Y. Y., Zhang, C. F., & Zhao, J. H. (2009). Review on multi-criteria decision analysis aid in sustainable energy decision-making. Renewable and Sustainable Energy Reviews, 13(9), 2263-2278.
Wang, P., Zhu, Z., & Wang, Y. (2016). A novel hybrid MCDM model combining the SAW, TOPSIS and GRA methods based on experimental design. Information Sciences, 345, 27-45.
Wang, X., & Triantaphyllou, E. (2006). Ranking irregularities when evaluating alternatives by using some multi-criteria decision analysis methods. Em A. Badiru (Ed.), Handbook of Industrial and Systems Engineeting (pp. 27-12). FL, U.S.A: CRC Press, Taylor & Francis Group.
Yu, W. (1992). Electre Tri — aspects méthodologiques et guide d’utilisation. Document du LAMSADE, 74. Paris: Université de Paris-Dauphine.
Zong, F., & Wang, L. (2017). Evaluation of university scientific research ability based on the output of sci-tech papers: A D-AHP approach. PLoS ONE, 12(2), e0171437. https://doi.org/10.1371/journal.pone.0171437.
Zyoud, S. H., & Fuchs-Hanusch, D. (2017). A bibliometric-based survey on AHP and TOPSIS techniques. Expert System with Applications, 78, 158-181. http://dx.doi.org/10.1016/j.eswa.2017.02.016.
Downloads
Publicado
Como Citar
Edição
Seção
Licença
Este trabalho está licenciado sob uma licença Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
