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Multiple Criteria Decision Analysis: State of the Art Surveys pp 409–437Cite as

On the Mathematical Foundation of MACBETH

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Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 78))

Abstract

MACBETH (Measuring Attractiveness by a Categorical Based Evaluation Technique) is a multicriteria decision analysis approach that requires only qualitative judgements about differences of value to help an individual or a group quantify the relative attractiveness of options. This chapter presents an up-to-date survey of the mathematical foundations of MACBETH. Reference is also made to real-world applications and an extensive bibliography, spanning back to the early 1990’s, is provided.

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References

  1. P. Antão da Silva, C.A. Bana e Costa, and F.N. Correia. Avaliação multicritério das incidêaencias ambientais de medidas de controlo de cheias: Aplicação à bacia hidrográfica da Ribeira do Livramento. In Trabalhos Técnicos do 1° Congresso sobre Aproveitamento e Gestão de Recursos Hídricos em Países de Idioma Português, pages 210–217, Rio de Janeiro, 2000. Associação Brasileira de Engenharia Sanitária e Ambiental. CD-ROM edition.

    Google Scholar 

  2. C.A Bana e Costa. Structuration, Construction et Exploitation d’un Modèle Multicritère d’Aide à la Décision. PhD thesis, Technical University of Lisbon, Lisbon, 1992.

    Google Scholar 

  3. C.A. Bana e Costa. O modelo de apoio à avaliação de propostas nos concursos do Metro do Porto. FER XXI, XVIII:111–115, 1999.

    Google Scholar 

  4. C.A. Bana e Costa. The use of multicriteria decision analysis to support the search for less conflicting policy options in a multi-actor context: Case-study. Journal of Multi-Criteria Decision Analysis, 10(2):111–125, 2001.

    Article  MATH  Google Scholar 

  5. C.A. Bana e Costa. Issues in facilitating bid evaluation in public call for tenders. In F. Khosrowshahi, editor, Proceedings of the 3rd International Conference on Decision Making in Urban and Civil Engineering, pages 703–709, London, 2002. SOAS. CDROM edition.

    Google Scholar 

  6. C.A. Bana e Costa, P. Antão da Silva, and EN. Correia. Multicriteria evaluation of flood control measures: The case of Ribeira do Livramento. Water Resources Management, to appear, 2004.

    Google Scholar 

  7. C.A. Bana e Costa, G. Appa, M.P. Chagas, F.C. Ferreira, J.O. Soares, R.C. Souza, and A. Zanini. A methodology to estimate the relative operational performance of electricity distributors. Technical report, PUC-Rio, Pontifícia Universidade Católica do Rio de Janeiro, 2002.

    Google Scholar 

  8. C.A. Bana e Costa, L. Barroso, and J.O. Soares. Qualitative modelling of credit scoring: A case study in banking. Journal of European Research Studies, V(1–2):37–51, 2002.

    Google Scholar 

  9. C.A. Bana e Costa and M.P. Chagas. A career choice problem: An example of how to use MACBETH to build a quantitative value model based on qualitative value judgements. European Journal of Operational Research, 153:323–331, 2004.

    Article  Google Scholar 

  10. C.A. Bana e Costa and E.C. Corrêa. Framing public calls for tenders through a multicriteria approach. In D.K. Despotis and C. Zopounidis, editors, Proceedings of the 5th International Conference of the Decision Sciences Institute, volume II, pages 1353–1355, Athens, 1999. Athens University of Business and Economics.

    Google Scholar 

  11. C.A. Bana e Costa and E.G. Corrêa. Construction of a total quality index using a multicriteria approach: The case of Lisbon Gas Company. Research paper 10/2000, CEG-IST, Technical University of Lisbon, 2000.

    Google Scholar 

  12. C.A. Bana e Costa, B.C. Corrêa, J.M. De Corte, and J.C. Vansnick. Facilitating bid evaluation in public call for tenders: A socio-technical approach. OMEGA: The International Journal of Management Science, 30(3):227–242, 2002.

    Google Scholar 

  13. C.A. Bana e Costa, B.C. Corrêa, L. Ensslin, and J.C. Vansnick. Decision support systems in action: Integrated application in a multicriteria decision aid process. European Journal of Operational Research, 113(2):315–335, 1999.

    Article  Google Scholar 

  14. C.A. Bana e Costa, M.L. Costa-Lobo, and I.A. Ramos. Contributo da metodologia multicritério na elaboração do Plano Estratégico de Barcelos. Sociedade e Território, 24:102–115, 1997.

    Google Scholar 

  15. C.A. Bana e Costa, M.L. da Costa-Lobo, I.A. Ramos, and J.C. Vansnick. Multicriteria approach for strategic town planning: The case of Barcelos. In D. Bouyssou, E. Jacquet-Lagrèze, P. Perny, R. Słowiński, D. Vanderpooten, and Ph. Vincke, editors, Aiding Decisions with Multiple Criteria. Essays in Honor of Bernard Roy, pages 429–456. Kluwer Academic Publishers, Boston, 2002.

    Google Scholar 

  16. C.A. Bana e Costa, J.M. De Corte, and J.C. Vansnick. MACBETH. Working paper 03.56, London School of Economics, London 2003.

    Google Scholar 

  17. C.A. Bana e Costa, L. Ensslin, and E. Holz. Avaliação ambiental em situação de conflito de interesses — Um estudo de caso. In IX SILUBESA, Simpósio Luso-Brasileiro de Engenharia Sanitária e Ambiental, pages 1914–1923. Associação Brasileira de Engenharia Sanitária e Ambiental and Associação Portuguesa de Recursos Hídricos, Porto Seguro (BA), 2000. CD-ROM edition.

    Google Scholar 

  18. C.A. Bana e Costa, L. Ensslin, and I.J. Zanella. A real-world MCDA application in cellular telephony systems. In T.J. Stewart and R.C. van den Honert, editors, Trends in Multicriteria Decision Making, volume 465 of Lecture Notes in Economics and Mathematical Systems, pages 412–423. Springer-Verlag, Berlin, 1998.

    Google Scholar 

  19. C.A. Bana e Costa and J.A. Ferreira. Concursos de obras públicas: Metodologia de avaliação de propostas. Aplicação a uma grande empreitada de infraestruturas de transportes. In Adas do Congresso 94, Engenharia Portuguesa na Viragem do Século, pages 47–w/9, Lisbon, 1994. Ordem dos Engenheiros.

    Google Scholar 

  20. C.A. Bana e Costa, J.A. Ferreira, and E.C. Corrêa. Metodologia multicritério de apoio à avaliação de propostas em concursos públicos. In C.H. Antunes and L.V. Tavares, editors, Casos de Aplicação da Investigção Operational, pages 336–363. McGraw-Hill Portugal, Lisbon, 2000.

    Google Scholar 

  21. C.A. Bana e Costa, J.A. Ferreira, and J.C. Vansnick. Avaliação multicritério de propostas: O caso de uma nova linha do Metropolitano de Lisboa. Revista de Transporte e Tecnologia, VII(14):31–65, 1995.

    Google Scholar 

  22. C.A. Bana e Costa and R.C. Oliveira. Assigning priorities for maintenance, repair and refurbishment in managing a municipal housing stock. European Journal of Operational Research, 138(2):380–391, 2002.

    Article  Google Scholar 

  23. C.A. Bana e Costa, R.C. Oliveira, and M.L. Alvarez. Concepção de um sistema multicritério de definição de prioridades de intervenção/conservação do património habitacional da Câmara Municipal de Lisboa. In Comunicações ao 2° Encontro sobre Conservação e Reabilitação de Edifícios, volume II, pages 925–934. LNEC, Laboratório Nacional de Engenharia Civil, Lisbon, 1994.

    Google Scholar 

  24. C.A. Bana e Costa, R.C. Oliveira, and M.L. Alvarez. SMAI: Sistema multicritério de avaliação de intervenções num parque habitacional municipal. In A.A. Bezelga and A.B. Leitão, editors, A Avaliaçõo do Imobiliário, pages 109–122. Associação Portuguesa dos Avaliadores de Engenharia, Lisbon, 1997.

    Google Scholar 

  25. C.A. Bana e Costa and F.N. Silva. Concepçõ de uma ‹boa› alternativa de ligaçõ ferroviária ao porto de Lisboa: Uma aplicaçõçõ da metodologia multicritério de apoio à decisão e à negociaçõção. Investigaçõ Operational, 14(2):115–131, 1994.

    Google Scholar 

  26. C.A. Bana e Costa, F.N. Silva, and J.C. Vansnick. Conflict dissolution in the public sector: A case-study. European Journal of Operational Research, 130(2):388–401, 2001.

    Article  Google Scholar 

  27. C.A. Bana e Costa and J.O. Soares. A multicriteria model for portfolio management. European Journal of Finance, 10(3):to appear, 2004.

    Google Scholar 

  28. C.A. Bana e Costa and J.F. Thomaz. Locating centres of information and recruitment of volunteers for the Portuguese armed forces: A decision-analysis case-study. In Proceedings of the 42nd Annual Conference of the International Military Testing Association, pages 173–180. International Military Testing Association, Edinburgh, 2000,. CD-ROM edition.

    Google Scholar 

  29. C.A. Bana e Costa and J.C. Vansnick. Sur la quantification des jugements de valeur: L’approche MACBETH. Cahiers du LAMSADE, 117, Université Paris-Dauphine, Paris, 1993.

    Google Scholar 

  30. C.A. Bana e Costa and J.C. Vansnick. MACBETH — An interactive path towards the construction of cardinal value functions. International Transactions in Operational Research, 1(4):489–500, 1994.

    Article  Google Scholar 

  31. C.A. Bana e Costa and J.C. Vansnick. General overview of the MACBETH approach. In P.M. Pardalos, Y. Siskos, and C. Zopounidis, editors, Advances in Multicriteria Analysis, pages 93–100. Kluwer Academic Publishers, Dordrecht, 1995.

    Google Scholar 

  32. C.A. Bana e Costa and J.C. Vansnick. Uma nova abordagem ao problema de construção de uma função de valor cardinal: MACBETH. Investigação Operacional, 15(1):15–35, 1995.

    Google Scholar 

  33. C.A. Bana e Costa and J.C. Vansnick. Applications of the MACBETH approach in the framework of an additive aggregation model. Journal of Multi-Criteria Decision Analysis, 6(2): 107–114, 1997.

    Article  Google Scholar 

  34. C.A. Bana e Costa and J.C. Vansnick. L’approche MACBETH: Note technique de presentation. Research paper 779, CESUR, Technical University of Lisbon, 1997.

    Google Scholar 

  35. C.A. Bana e Costa and J.C. Vansnick. The MACBETH approach: Basic ideas. In Proceedings of the International Conference on Methods and Applications of Multicriteria Decision Making, pages 86–88. FUCAM, Facultés Universitaires Catholiques de Mons, 1997.

    Google Scholar 

  36. C.A. Bana e Costa and J.C. Vansnick. A theoretical framework for measuring attractiveness by a categorical based evaluation technique (MACBETH). In J. Clímaco, editor, Multicriteria Analysis, pages 15–24. Springer-Verlag, Berlin, 1997.

    Google Scholar 

  37. C.A. Bana e Costa and J.C. Vansnick. The MACBETH approach: Basic ideas, software and an application. In N. Meskens and M. Roubens, editors, Advances in Decision Analysis, pages 131–157. Kluwer Academic Publishers, Dordrecht, 1999.

    Google Scholar 

  38. C.A. Bana e Costa and J.C. Vansnick. Cardinal value measurement with MACBETH. In S.H. Zanakis, G. Doukidis, and C. Zopounidis, editors, Decision Making: Recent Developments and Worldwide Applications, pages 317–329. Kluwer Academic Publishers, Dordrecht, 2000.

    Google Scholar 

  39. C.A. Bana e Costa and A.C. Vitorino. Construção multicritério da ›matriz de custos‹ de um modelo de afectação para gestão de stands de aeronaves. Investigação Operacional, 17(2): 179–199, 1997.

    Google Scholar 

  40. V. Belton. A Comparative Study of Methods for Multiple Criteria Decision Aiding. PhD thesis, University of Cambridge, Cambridge, U.K., 1986.

    Google Scholar 

  41. V. Belton and T.J. Stewart. Multiple Criteria Decision Analysis: An Integrated Approach. Kluwer Academic Publishers, Boston, 2002.

    Google Scholar 

  42. C3E, editor. Applying the Multi-criteria Method to the Evaluation of Structural Programmes, volume 4 of MEANS Handbook. European Commission, DG XVI/02, Brussels, 1995.

    Google Scholar 

  43. C3E, editor. Evaluation Pilote Multicritère du Hainaut, Rapport d’Expérience. European Commission, DG XVI/02, Brussels, 1995.

    Google Scholar 

  44. F.J.P. Cardoso, L.F.A.M. Gomes, and M. Sanglard Júnior. Administração das operções de telecomunicação: Uma anàlise de decisão. Revista Portuguesa e Brasileira de Gestão, 2(2):91–103, 2003.

    Google Scholar 

  45. Catalyze Ltd. HIVIEW3 Starter Guide. Catalyze Ltd, London, 2003.

    Google Scholar 

  46. J.M. De Corte. Un Logiciel d’Exploitation d’Informations Préférentielles pour l’Aide à la Décision. Bases Mathématiques et Algorithmiques. PhD thesis, University of Mons-Hainaut, Mons, 2002.

    Google Scholar 

  47. L. Ensslin, A. Dutra, and S. Ensslin. MCDA: A constructivist approach to the management of human resources at a governmental agency. International Transactions in Operational Research, 7(1):79–100, 2000.

    Article  Google Scholar 

  48. L. Ensslin and S. Ensslin. Elaboração de um modelo construtivista para identificação de oportunidades de aperfeiçoamento de docentes do EPS-UFSC. Revista Produto & Produção, 2(3): 143–149, 1998.

    Google Scholar 

  49. L. Ensslin, G.N. Montibeller, and M.V.A Lima. Constructing and implementing a DSS to help evaluate perceived risk of accounts receivable. In Y.Y. Haimes and R.E. Steuer, editors, Research and Practice in Multiple Criteria Decision Making, volume 487 of Lecture Notes in Economics and Mathematical Systems, pages 245–259. Springer-Verlag, Berlin, 2000.

    Google Scholar 

  50. L. Ensslin, G.N. Montibeller, and S. Noronha. Apoio à Decisão: Metodologias para Estruturação de Problemas e Avaliação Multicritério de Alternativas. Editora Insular, Florianópolis(SC),2001.

    Google Scholar 

  51. P.H. Farquhar and L.R. Keller. Preference intensity measurement. In PC. Fishburn and I.H. LaValle, editors, Choice under Uncertainty, volume 19 of Annals of Operations Research, pages 205–217. 1989.

    Google Scholar 

  52. A.N.S. Freeling. Belief and Decision Aiding. PhD thesis, University of Cambridge, U.K., 1983.

    Google Scholar 

  53. S. French. Decision Theory: An Introduction to the Mathematics of Rationality. Ellis Horwood Limited, Chichester, 1988.

    Google Scholar 

  54. M.A.L Leitão, J.F. Thomaz, F.V. Freire, and C.A. Bana e Costa. Using decision conferencing and process consultation to facilitate the structuring of a performance appraisal model in the Portuguese army. Research paper 5/2002, CEG-IST, Technical University of Lisbon, 2002.

    Google Scholar 

  55. O.L. Mangasarian. Nonlinear Programming. McGraw-Hill, New York, 1969.

    Google Scholar 

  56. C. Mousset and J.C. Vansnick. About the representation of a precardinal information. Technical report, Université de Mons-Hainaut, 2002.

    Google Scholar 

  57. R.C. Oliveira and J.C. Lourenço. A multicriteria model for assigning new orders to service suppliers. European Journal of Operational Research, 139(2):390–399, 2002.

    Article  Google Scholar 

  58. J.L. Porto. Analyse multicritére dans le cadre des appels d’offres pour la construction de travaux publics et privés: Le cas du Méro de Porto au Portugal. Newsletter of the European Working Group ›Multiple Criteria Decision Aiding‹, Serie II (15):1–2, 1999.

    Google Scholar 

  59. T.L. Saaty. The Analytic Hierarchy Process. McGraw-Hill, New York, 1980.

    Google Scholar 

  60. J.S.V. Silva and C.A. Bana e Costa. Especificação de uma ferramenta de apoio à decisão para gestão pública em regiões semi-áridas. Research paper 23/2001, CEG-IST, Technical University of Lisbon, 2001.

    Google Scholar 

  61. D. von Winterfeldt and W. Edwards. Decision Analysis and Behavioral Research. Cambridge University Press, Cambridge; 1986.

    Google Scholar 

  62. S.R. Watson and D.M. Buede. Decision Synthesis: The Principles and Practice of Decision Analysis. Cambridge University Press, Cambridge, 1987.

    Google Scholar 

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Authors and Affiliations

  1. Centre for Management Studies of Instituto Superior Técnico Technical University of Lisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal

    Carlos A. Bana e Costa

  2. Department of Operational Research, London School of Economics, Houghton Street, London, WC2A 2AE, UK

    Carlos A. Bana e Costa

  3. Centre de Recherche Warocqué, Université de Mons-Hainaut, Place du Parc, 20, 7000, Mons, Belgium

    Jean-Marie De Corte & Jean-Claude Vansnick

Authors
  1. Carlos A. Bana e Costa
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  2. Jean-Marie De Corte
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  3. Jean-Claude Vansnick
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Bana e Costa, C.A., De Corte, JM., Vansnick, JC. (2005). On the Mathematical Foundation of MACBETH. In: Multiple Criteria Decision Analysis: State of the Art Surveys. International Series in Operations Research & Management Science, vol 78. Springer, New York, NY. https://doi.org/10.1007/0-387-23081-5_10

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