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On the Mathematical Foundations of MACBETH

In: Multiple Criteria Decision Analysis

Author

Listed:
  • Carlos A. Bana e Costa

    (Universidade de Lisboa)

  • Jean-Marie De Corte

    (Université de Mons)

  • Jean-Claude Vansnick

    (Université de Mons)

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 a new 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 1990s, is provided.

Suggested Citation

  • Carlos A. Bana e Costa & Jean-Marie De Corte & Jean-Claude Vansnick, 2016. "On the Mathematical Foundations of MACBETH," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 421-463, Springer.
    • Handle: RePEc:spr:isochp:978-1-4939-3094-4_11
    DOI: 10.1007/978-1-4939-3094-4_11
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    Citations

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    Cited by:

    1. Fernando A. F. Ferreira & Sérgio P. Santos, 2021. "Two decades on the MACBETH approach: a bibliometric analysis," Annals of Operations Research, Springer, vol. 296(1), pages 901-925, January.
    2. Aris Angelis & Mark Thursz & Vlad Ratziu & Alastair O’Brien & Lawrence Serfaty & Ali Canbay & Ingolf Schiefke & Joao Bana e Costa & Pascal Lecomte & Panos Kanavos, 2020. "Early Health Technology Assessment during Nonalcoholic Steatohepatitis Drug Development: A Two-Round, Cross-Country, Multicriteria Decision Analysis," Medical Decision Making, , vol. 40(6), pages 830-845, August.
    3. Jaime Burgos & María Carmen Carnero, 2020. "Assessment of Social Responsibility in Education in Secondary Schools," Sustainability, MDPI, vol. 12(12), pages 1-38, June.
    4. Figueira, José Rui & Oliveira, Henrique M. & Serro, Ana Paula & Colaço, Rogério & Froes, Filipe & Robalo Cordeiro, Carlos & Diniz, António & Guimarães, Miguel, 2023. "A multiple criteria approach for building a pandemic impact assessment composite indicator: The case of COVID-19 in Portugal," European Journal of Operational Research, Elsevier, vol. 309(2), pages 795-818.
    5. Zheng, Jun & Lienert, Judit, 2018. "Stakeholder interviews with two MAVT preference elicitation philosophies in a Swiss water infrastructure decision: Aggregation using SWING-weighting and disaggregation using UTAGMS," European Journal of Operational Research, Elsevier, vol. 267(1), pages 273-287.
    6. Rodrigues, Teresa C. & Montibeller, Gilberto & Oliveira, Mónica D. & Bana e Costa, Carlos A., 2017. "Modelling multicriteria value interactions with Reasoning Maps," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1054-1071.
    7. Carayannis, Elias G. & Ferreira, Fernando A.F. & Bento, Paulo & Ferreira, João J.M. & Jalali, Marjan S. & Fernandes, Bernardo M.Q., 2018. "Developing a socio-technical evaluation index for tourist destination competitiveness using cognitive mapping and MCDA," Technological Forecasting and Social Change, Elsevier, vol. 131(C), pages 147-158.
    8. Baltazar, Maria Emília & Rosa, Tiago & Silva, Jorge, 2018. "Global decision support for airport performance and efficiency assessment," Journal of Air Transport Management, Elsevier, vol. 71(C), pages 220-242.
    9. Baltazar, Maria Emília & Silva, Jorge, 2020. "Spanish airports performance and efficiency benchmark. A PESA-AGB study," Journal of Air Transport Management, Elsevier, vol. 89(C).
    10. Manuel D. N. T. Oliveira & Fernando A. F. Ferreira & Guillermo O. Pérez-Bustamante Ilander & Marjan S. Jalali, 2017. "Integrating cognitive mapping and MCDA for bankruptcy prediction in small- and medium-sized enterprises," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 985-997, September.
    11. Francis Marleau Donais & Irène Abi-Zeid & E. Owen D. Waygood & Roxane Lavoie, 2021. "A Framework for Post-Project Evaluation of Multicriteria Decision Aiding Processes from the Stakeholders’ Perspective: Design and Application," Group Decision and Negotiation, Springer, vol. 30(5), pages 1161-1191, October.
    12. Andrius Tamošiūnas, 2023. "Selecting Rooftop Solar Photovoltaic Modules by Measuring Their Attractiveness by a Categorical-Based Evaluation Technique (MACBETH): The Case of Lithuania," Energies, MDPI, vol. 16(7), pages 1-22, March.
    13. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
    14. Corrente, S. & Figueira, J.R. & Greco, S., 2021. "Pairwise comparison tables within the deck of cards method in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 291(2), pages 738-756.
    15. Francis Marleau Donais & Irène Abi-Zeid & E. Owen D. Waygood & Roxane Lavoie, 2019. "A review of cost–benefit analysis and multicriteria decision analysis from the perspective of sustainable transport in project evaluation," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 7(3), pages 327-358, November.
    16. Angelis, A. & Linch, M. & Montibeller, G. & Molina-Lopez, T. & Zawada, A. & Orzel, K. & Arickx, F. & Espin, J. & Kanavos, P., 2020. "Multiple Criteria Decision Analysis for HTA across four EU Member States: Piloting the Advance Value Framework," Social Science & Medicine, Elsevier, vol. 246(C).
    17. Bana e Costa, Carlos A. & Oliveira, Mónica D. & Vieira, Ana C.L. & Freitas, Liliana & Rodrigues, Teresa C. & Bana e Costa, João & Freitas, Ângela & Santana, Paula, 2023. "Collaborative development of composite indices from qualitative value judgements: The EURO-HEALTHY Population Health Index model," European Journal of Operational Research, Elsevier, vol. 305(1), pages 475-492.

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