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On the Mathematical Foundations of MACBETH

  • Chapter
Multiple Criteria Decision Analysis

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 233))

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.

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Acknowledgements

The authors thank José Ferrão, Manuel Pedro Chagas, Mónica Oliveira, Teresa Rodrigues and two anonymous referees for their valuable comments on earlier versions of this chapter and Diana Lopes and Teresa Rodrigues for their invaluable collaboration in updating Sect. 11.10.

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  1. Centre for Management Studies of Instituto Superior Técnico (CEG-IST), Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisbon, Portugal

    Carlos A. Bana e Costa

  2. Institut de Recherche en Développement Humain et des Organisations (HumanOrg), Université de Mons, Place du Parc, 20, 7000, Mons, Belgium

    Jean-Marie De Corte & Jean-Claude Vansnick

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Correspondence to Carlos A. Bana e Costa .

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  1. Department of Economics and Business; Portsmouth Business School, Operations & Systems Management, University of Catania; University of Portsmouth, Catania; Portsmouth, Italy

    Salvatore Greco

  2. Department of Management Science, Lancaster University, Lancaster, United Kingdom

    Matthias Ehrgott

  3. Universidade de Lisboa, CEG-IST, Instituto Superior Técnico, Lisboa, Portugal

    José Rui Figueira

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© 2016 Springer Science+Business Media New York

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Bana e Costa, C.A., De Corte, JM., Vansnick, JC. (2016). On the Mathematical Foundations of MACBETH. In: Greco, S., Ehrgott, M., Figueira, J. (eds) Multiple Criteria Decision Analysis. International Series in Operations Research & Management Science, vol 233. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3094-4_11

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