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The SMAA-PROMETHEE method

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  • Corrente, Salvatore
  • Figueira, José Rui
  • Greco, Salvatore

Abstract

PROMETHEE methods are widely used in Multiple Criteria Decision Aiding (MCDA) to deal with real world decision making problems. In this paper, we propose to apply the Stochastic Multicriteria Acceptability Analysis (SMAA) to the family of PROMETHEE methods in order to explore the whole set of parameters compatible with some preference information provided by the Decision Maker (DM). The application of the presented methodology is described in a didactic example.

Suggested Citation

  • Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
    • Handle: RePEc:eee:ejores:v:239:y:2014:i:2:p:514-522
    DOI: 10.1016/j.ejor.2014.05.026
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    1. Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2013. "Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE," Omega, Elsevier, vol. 41(5), pages 820-846.
    2. Lahdelma, Risto & Salminen, Pekka, 2009. "Prospect theory and stochastic multicriteria acceptability analysis (SMAA)," Omega, Elsevier, vol. 37(5), pages 961-971, October.
    3. Tervonen, Tommi & Lahdelma, Risto, 2007. "Implementing stochastic multicriteria acceptability analysis," European Journal of Operational Research, Elsevier, vol. 178(2), pages 500-513, April.
    4. Lahdelma, Risto & Hokkanen, Joonas & Salminen, Pekka, 1998. "SMAA - Stochastic multiobjective acceptability analysis," European Journal of Operational Research, Elsevier, vol. 106(1), pages 137-143, April.
    5. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, December.
    6. Lahdelma, Risto & Salminen, Pekka, 2002. "Pseudo-criteria versus linear utility function in stochastic multi-criteria acceptability analysis," European Journal of Operational Research, Elsevier, vol. 141(2), pages 454-469, September.
    7. Kadziński, Miłosz & Tervonen, Tommi, 2013. "Robust multi-criteria ranking with additive value models and holistic pair-wise preference statements," European Journal of Operational Research, Elsevier, vol. 228(1), pages 169-180.
    8. Robert L. Smith, 1984. "Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed over Bounded Regions," Operations Research, INFORMS, vol. 32(6), pages 1296-1308, December.
    9. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, vol. 40(4), pages 488-501.
    10. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2008. "Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions," European Journal of Operational Research, Elsevier, vol. 191(2), pages 416-436, December.
    11. Claessens, M. N. A. J. & Lootsma, F. A. & Vogt, F. J., 1991. "An elementary proof of Paelinck's theorem on the convex hull of ranked criterion weights," European Journal of Operational Research, Elsevier, vol. 52(2), pages 255-258, May.
    12. Dias, Luis C. & Mousseau, Vincent, 2006. "Inferring Electre's veto-related parameters from outranking examples," European Journal of Operational Research, Elsevier, vol. 170(1), pages 172-191, April.
    13. Greco, Salvatore & Kadzinski, Milosz & Mousseau, Vincent & Slowinski, Roman, 2011. "ELECTREGKMS: Robust ordinal regression for outranking methods," European Journal of Operational Research, Elsevier, vol. 214(1), pages 118-135, October.
    14. Mareschal, Bertrand, 1988. "Weight stability intervals in multicriteria decision aid," European Journal of Operational Research, Elsevier, vol. 33(1), pages 54-64, January.
    15. Giarlotta, Alfio & Greco, Salvatore, 2013. "Necessary and possible preference structures," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 163-172.
    16. Solymosi, Tamas & Dombi, Jozsef, 1986. "A method for determining the weights of criteria: The centralized weights," European Journal of Operational Research, Elsevier, vol. 26(1), pages 35-41, July.
    17. 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.
    18. Wolters, W. T. M. & Mareschal, B., 1995. "Novel types of sensitivity analysis for additive MCDM methods," European Journal of Operational Research, Elsevier, vol. 81(2), pages 281-290, March.
    19. Tervonen, Tommi & van Valkenhoef, Gert & Baştürk, Nalan & Postmus, Douwe, 2013. "Hit-And-Run enables efficient weight generation for simulation-based multiple criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 224(3), pages 552-559.
    20. Lahdelma, Risto & Miettinen, Kaisa & Salminen, Pekka, 2003. "Ordinal criteria in stochastic multicriteria acceptability analysis (SMAA)," European Journal of Operational Research, Elsevier, vol. 147(1), pages 117-127, May.
    21. Salvatore Corrente & José Figueira & Salvatore Greco, 2014. "Dealing with interaction between bipolar multiple criteria preferences in PROMETHEE methods," Annals of Operations Research, Springer, vol. 217(1), pages 137-164, June.
    22. Carrizosa, E. & Conde, E. & Fernandez, F. R. & Puerto, J., 1995. "Multi-criteria analysis with partial information about the weighting coefficients," European Journal of Operational Research, Elsevier, vol. 81(2), pages 291-301, March.
    23. Durbach, Ian, 2009. "On the estimation of a satisficing model of choice using stochastic multicriteria acceptability analysis," Omega, Elsevier, vol. 37(3), pages 497-509, June.
    24. Risto Lahdelma & Pekka Salminen, 2001. "SMAA-2: Stochastic Multicriteria Acceptability Analysis for Group Decision Making," Operations Research, INFORMS, vol. 49(3), pages 444-454, June.
    25. Tervonen, Tommi & Figueira, José Rui & Lahdelma, Risto & Dias, Juscelino Almeida & Salminen, Pekka, 2009. "A stochastic method for robustness analysis in sorting problems," European Journal of Operational Research, Elsevier, vol. 192(1), pages 236-242, January.
    26. Angilella, Silvia & Greco, Salvatore & Matarazzo, Benedetto, 2010. "Non-additive robust ordinal regression: A multiple criteria decision model based on the Choquet integral," European Journal of Operational Research, Elsevier, vol. 201(1), pages 277-288, February.
    27. Lahdelma, Risto & Makkonen, Simo & Salminen, Pekka, 2006. "Multivariate Gaussian criteria in SMAA," European Journal of Operational Research, Elsevier, vol. 170(3), pages 957-970, May.
    28. 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.
    29. Menou, Abdellah & Benallou, Abdelhanine & Lahdelma, Risto & Salminen, Pekka, 2010. "Decision support for centralizing cargo at a Moroccan airport hub using stochastic multicriteria acceptability analysis," European Journal of Operational Research, Elsevier, vol. 204(3), pages 621-629, August.
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