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A note on scale transformations in the PROMETHEE V method

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  • de Almeida, Adiel Teixeira
  • Vetschera, Rudolf

Abstract

As already noted by Mavrotas et al. (2006), the PROMETHEE V method for multi-attribute analysis of portfolio problems will fail to include an item in a portfolio if it has a negative net flow with respect to other items, although adding such an item might actually improve the entire portfolio. However, the model formulated by Mavrotas et al. introduces a bias in favor of large portfolios because the PROMETHEE V method is sensitive to scale transformations. The present paper analyzes this effect and proposes a method to correct it.

Suggested Citation

  • de Almeida, Adiel Teixeira & Vetschera, Rudolf, 2012. "A note on scale transformations in the PROMETHEE V method," European Journal of Operational Research, Elsevier, vol. 219(1), pages 198-200.
    • Handle: RePEc:eee:ejores:v:219:y:2012:i:1:p:198-200
    DOI: 10.1016/j.ejor.2011.12.034
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    References listed on IDEAS

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    1. Bertrand Mareschal & Jean Pierre Brans, 1992. "PROMETHEE V: MCDM problems with segmentation constraints," ULB Institutional Repository 2013/9341, ULB -- Universite Libre de Bruxelles.
    2. Mavrotas, G. & Diakoulaki, D. & Caloghirou, Y., 2006. "Project prioritization under policy restrictions. A combination of MCDA with 0-1 programming," European Journal of Operational Research, Elsevier, vol. 171(1), pages 296-308, May.
    3. Behzadian, Majid & Kazemzadeh, R.B. & Albadvi, A. & Aghdasi, M., 2010. "PROMETHEE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 200(1), pages 198-215, January.
    4. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1984. "Prométhée: a new family of outranking methods in multicriteria analysis," ULB Institutional Repository 2013/9305, ULB -- Universite Libre de Bruxelles.
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    Cited by:

    1. Pohl, Erik & Geldermann, Jutta, 2024. "Selection of multi-criteria energy efficiency and emission abatement portfolios in container terminals," European Journal of Operational Research, Elsevier, vol. 316(1), pages 386-395.
    2. Casado, Ramon Swell Gomes Rodrigues & Alencar, Marcelo Hazin & de Almeida, Adiel Teixeira, 2022. "Combining a multidimensional risk evaluation with an implicit enumeration algorithm to tackle the portfolio selection problem of a natural gas pipeline," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    3. Morton, Alec, 2015. "Measurement issues in the evaluation of projects in a project portfolio," European Journal of Operational Research, Elsevier, vol. 245(3), pages 789-796.
    4. M. Fontana & D. Morais, 2013. "Using Promethee V to Select Alternatives so as to Rehabilitate Water Supply Network with Detected Leaks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 4021-4037, September.
    5. Madani Bezoui & Mustapha Moulaï & Ahcène Bounceur & Reinhardt Euler, 2019. "An iterative method for solving a bi-objective constrained portfolio optimization problem," Computational Optimization and Applications, Springer, vol. 72(2), pages 479-498, March.
    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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