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Multiple Criteria Decision Support

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Handbook of Group Decision and Negotiation

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Abstract

Multiple criteria decision aiding (MCDA) methodologies aim at supporting complex decisions when many conflicting points of view have to be considered. In this chapter, after introducing the main principles, we present the basic approaches and methodologies of MCDA, taking into account the most recent contributions in the domain.

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Notes

  1. 1.

    In this chapter, we shall use the acronym MCDA for indifferently referring to both multiple criteria decision analysis and multiple criteria decision aiding.

  2. 2.

    A total-preoder on A is a reflexive and transitive binary relation on A such that for all a, b ∈ A, aRb, or bRa. In particular, reflexive means that aRa for all a ∈ A, while transitive means that if aRb and bRc, then aRc for all a, b, c ∈ A.

  3. 3.

    On one hand, a is preferred to b, and we shall write aPb, iff aSb but not(bSa); on the other hand, a and b are indifferent, and we shall write aIb, iff aSb and bSa.

  4. 4.

    This is equivalent to say that dj(a, b) < 1 for all gj ∈ G.

  5. 5.

    Multiobjective and multiattribute are used as well.

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Acknowledgments

Salvatore Corrente and Salvatore Greco gratefully acknowledge the funding by the research project “Data analytics for entrepreneurial ecosystems, sustainable development and wellbeing indices” of the Department of Economics and Business of the University of Catania. José Rui Figueira acknowledges the support from the hSNS FCT – Research Project (PTDC/EGE-OGE/30546/2017) and the FCT grant SFRH/BSAB/139892/2018 under POCH Program. The research of Roman Słowiński has been partially supported by the statutory funds of Poznan University of Technology.

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Authors and Affiliations

  1. Department of Economics and Business, University of Catania, Catania, Italy

    Salvatore Corrente & Salvatore Greco

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

    José Rui Figueira

  3. Portsmouth Business School, Centre of Operations Research and Logistics (CORL), University of Portsmouth, Portsmouth, UK

    Salvatore Greco

  4. Institute of Computing Science, Poznań University of Technology, Poznań, Poland

    Roman Słowiński

  5. Systems Research Institute, Polish Academy of Science, Warsaw, Poland

    Roman Słowiński

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  1. Salvatore Corrente
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  2. José Rui Figueira
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  3. Salvatore Greco
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  4. Roman Słowiński
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Correspondence to Salvatore Corrente .

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Editors and Affiliations

  1. Wilfrid Laurier University Dept. Mathematics, Waterloo, ON, Canada

    D. Marc Kilgour

  2. University of Strathclyde Strathclyde Business School, Glasgow, UK

    Colin Eden

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Corrente, S., Figueira, J.R., Greco, S., Słowiński, R. (2020). Multiple Criteria Decision Support. In: Kilgour, D., Eden, C. (eds) Handbook of Group Decision and Negotiation. Springer, Cham. https://doi.org/10.1007/978-3-030-12051-1_33-1

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