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SMAA-GAIA: a complementary tool of the SMAA-PROMETHEE method

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  • Jean-Philippe Hubinont

Abstract

PROMETHEE and GAIA are well-known multiple criteria decision aid methods. Given an evaluation table and preference parameters they allow to rank the alternatives, to visualise the problem, to perform sensitivity and robustness analysis, etc. Unfortunately, it is often hard for the decision maker (DM) to estimate the precise values of these parameters. Therefore an alternative option is to give ranges of potential values in order to apply stochastic multi-criteria acceptability analysis. This has been recently studied in the context of the SMAA-PROMETHEE method. The aim of this contribution is to propose a SMAA extension of GAIA. We show how this tool can be useful and provide complementary information to SMAA-PROMETHEE. This is illustrated on a pedagogical example.

Suggested Citation

  • Jean-Philippe Hubinont, 2016. "SMAA-GAIA: a complementary tool of the SMAA-PROMETHEE method," International Journal of Multicriteria Decision Making, Inderscience Enterprises Ltd, vol. 6(3), pages 237-246.
    • Handle: RePEc:ids:ijmcdm:v:6:y:2016:i:3:p:237-246
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    Citations

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    Cited by:

    1. R. Pelissari & M. C. Oliveira & S. Ben Amor & A. Kandakoglu & A. L. Helleno, 2020. "SMAA methods and their applications: a literature review and future research directions," Annals of Operations Research, Springer, vol. 293(2), pages 433-493, October.
    2. Greco, Salvatore & Ishizaka, Alessio & Tasiou, Menelaos & Torrisi, Gianpiero, 2019. "The Ordinal Input for Cardinal Output Approach of Non-compensatory Composite Indicators: The PROMETHEE Scoring Method," MPRA Paper 95816, University Library of Munich, Germany.
    3. Arcidiacono, Sally Giuseppe & Corrente, Salvatore & Greco, Salvatore, 2018. "GAIA-SMAA-PROMETHEE for a hierarchy of interacting criteria," European Journal of Operational Research, Elsevier, vol. 270(2), pages 606-624.
    4. García-Cáceres, Rafael Guillermo, 2020. "Stochastic Multicriteria Acceptability Analysis – Matching (SMAA-M)," Operations Research Perspectives, Elsevier, vol. 7(C).
    5. Greco, Salvatore & Ishizaka, Alessio & Tasiou, Menelaos & Torrisi, Gianpiero, 2021. "The ordinal input for cardinal output approach of non-compensatory composite indicators: the PROMETHEE scoring method," European Journal of Operational Research, Elsevier, vol. 288(1), pages 225-246.
    6. de Almeida Filho, Adiel T. & Clemente, Thárcylla R.N. & Morais, Danielle Costa & de Almeida, Adiel Teixeira, 2018. "Preference modeling experiments with surrogate weighting procedures for the PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 264(2), pages 453-461.

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