Skip to main content
SpringerLink
Log in

An Introduction to Multicriteria Decision Aid: The PROMETHEE and GAIA Methods

  • Chapter
Business Intelligence (eBISS 2012)

Part of the book series: Lecture Notes in Business Information Processing ((LNBIP,volume 138))

Included in the following conference series:

Abstract

Most strategic decision problems involve the evaluation of potential solutions according to multiple conflicting criteria. The aim of this chapter is to introduce some basic concepts of Multicriteria Decision Aid (MCDA) with a special emphasis on the PROMETHEE and GAIA methods. First, we will introduce the specific vocabulary of this research area as well as traditional modelling issues. The main part of the presentation will be dedicated to explain in detail the PROMETHEE and GAIA methods. Finally, an illustrative example will be analyzed with the D-Sight software. This will highlight the added value of using interactive and visual tools in complex decision processes.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Academic Ranking of World Universities, http://www.arwu.org

  2. Bana e Costa, C.A.: Convictions et Aide à la Décision. Newsletter of the Euro Working Group Multicriteria Decision Aiding 2 (1993)

    Google Scholar 

  3. Bana e Costa, C.A., De Corte, J.M., Vansnick, J.C.: On the Mathematical Foundations of MACBETH. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)

    Google Scholar 

  4. Behzadian, M., Kazemzadeh, R.K., Albadvi, A., Aghdasi, M.: PROMETHEE: A comprehensive literature review on methodologies and applications. European Journal of Operational Research 100(1), 198–215 (2010)

    Article  Google Scholar 

  5. Belton, V., Ackerman, F., Shepherd, I.: Integrated support from problem structuring through to alternative evaluation using COPE and VISA. Journal of Multi-Criteria Decision Analysis 7, 115–130 (1997)

    Article  Google Scholar 

  6. Belton, V., Steward, T.: Multiple Criteria Decision Analysis: An Integrated Approach. Kluwer Academic Publisher, Boston (2002)

    Book  Google Scholar 

  7. Billaut, J.C., Bouyssou, D., Vincke, P.: Should you believe in the Shanghai ranking? Scientometrics 84(1), 237–263 (2010)

    Article  Google Scholar 

  8. Bouyssou, D.: Décision Multicritère ou Aide Multicritère? Newsletter of the Euro Working Group Multicriteria Decision Aiding 3 (1993)

    Google Scholar 

  9. Bouyssou, D., Vincke, P.: Relations binaires et modélisation des préférences. Technical report SMG, IS-MG 2003/02 (2003)

    Google Scholar 

  10. Bouyssou, D., Marchant, T., Pirlot, M., Tsoukias, A., Vincke, V.: Evaluation and decision models with multiple criteria: stepping stones for the analyst. International Series in Operations Research and Management Science, vol. 86. Springer, Boston (2006)

    Google Scholar 

  11. Brans, J.P., Vincke, P.: A preference ranking organization method. Management Science 31(6), 647–656 (1985)

    Article  Google Scholar 

  12. Brans, J.P., Mareschal, B.: PROMETHEE V: MCDM Problems with Segmentation Constraints. INFOR 30(2), 85–96 (1992)

    Google Scholar 

  13. Brans, J.P., Mareschal, B.: PROMCALC and GAIA: A new decision support system for Multicriteria Decision Aid. Decision Support Systems 12, 297–310 (1994)

    Article  Google Scholar 

  14. Brans, J.P.: The space of freedom of the decision maker modelling the human brain. European Journal of Operational Research 92(3), 593–602 (1996)

    Article  Google Scholar 

  15. Brans, J.P., Macharis, C., Kunsch, P.L., Chevalier, A., Schwaninger, M.: Combining multicriteria decision aid and system dynamics for the control of socio-economic processes. An iterative real-time procedure. European Journal of Operational Research 109(2), 428–441 (1998)

    Article  Google Scholar 

  16. Brans, J.P., Mareschal, B.: Prométhée - GAIA: une méthode d’aide à la décision en présence de critères multiples. Statistiques et Mathématiques Appliquées. Ellipses, Editions de l’Université Libre de Bruxelles, Paris (2002)

    Google Scholar 

  17. Brans, J.P., Mareschal, B.: PROMETHEE Methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 163–196. Springer, Boston (2005)

    Chapter  Google Scholar 

  18. De Smet, Y., Vincke, P.: L’aide à la décision, IT-Scan 7 (2002)

    Google Scholar 

  19. De Smet, Y., Montano Guzman, L.: Towards multicriteria clustering: An extension of the k-means algorithm. European Journal of Operational Research 158(2), 390–398 (2004)

    Article  Google Scholar 

  20. Dyer, J.S.: MAUT - Multiattribute Utility and Value Theories. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)

    Google Scholar 

  21. De Smet, Y., Nemery, P., Selvaraj, R.: An exact algorithm for the multicriteria ordered clustering problem. Omega 40(6), 861–896 (2006)

    Article  Google Scholar 

  22. Doumpos, M., Grigoroudis, E. (eds.): Multicriteria decision aid and artificial intelligence: Theory and applications. John Wiley and Sons (to appear)

    Google Scholar 

  23. Figueira, J., Greco, S., Ehrgott, M.: Multiple Criteria Decision Analysis: State of the Art Survey. Springer, Boston (2005)

    Book  Google Scholar 

  24. Figueira, J., Mousseau, V., Roy, B.: ELECTRE methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)

    Chapter  Google Scholar 

  25. Hayez, Q., De Smet, Y., Bonney, J.: D-SIGHT: a new decision making software to address multi-criteria problems. International Journal of Decision Support Systems Technologies 4(4) (2012)

    Google Scholar 

  26. Keeney, R.L.: Value-Focused Thinking. Harvard University Press, Cambridge (1992)

    Google Scholar 

  27. Kilgour, D.M., Chen, Y., Hipel, K.W.: Multiple Criteria Approaches to Group Decision and Negotiation. In: Ehrgott, M., Figueira, J., Greco, S. (eds.) Trends in Multiple Criteria Decision Analysis. International Series in Operations Research and Management Science, vol. 142, pp. 317–338. Springer (2010)

    Google Scholar 

  28. Korhonen, P.: Interactive methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)

    Google Scholar 

  29. Neves, L.P., Dias, L.C., Antunes, C.H., Martins, A.G.: Structuring a MCDA model using SSM: A case study in Energy Efficiency. European Journal of Operational Research 199(3), 834–845 (2009)

    Article  Google Scholar 

  30. Luce, R.D.: Semiorders and a theory of utility discrimination. Econometrica 24, 178–191 (1956)

    Article  Google Scholar 

  31. Malczewski, J., Rinner, C.: Multicriteria Decision Analysis in Geographic Information Science. Springer (to appear)

    Google Scholar 

  32. Mareschal, B.: Weight stability intervals in multicriteria decision aid. European Journal of Operational Research 33(1), 54–64 (1988)

    Article  Google Scholar 

  33. Mareschal, B., Brans, J.P.: Geometrical representations for MCDA: the GAIA module. European Journal of Operational Research 34, 69–77 (1988)

    Article  Google Scholar 

  34. Markowitz, H.M.: Portfolio Selection. The Journal of Finance 7(1), 77–91 (1952)

    Google Scholar 

  35. Roy, B.: Il faut désoptimiser la Recherche Opérationelle. Bulletin de l’AFIRO 7 (1968)

    Google Scholar 

  36. Roy, B.: Decision-aid and decision-making. European Journal of Operational Research 45, 324–331 (1990)

    Article  Google Scholar 

  37. Roy, B.: Multicriteria Methodology for Decision Aiding. Kluwer Academic Publishers, Dordrecht (1996)

    Book  Google Scholar 

  38. Roy, B.: A French-English Decision Aiding glossary. Newsletter of the Euro Working Group Multicriteria Decision Aiding 3 (2000)

    Google Scholar 

  39. Saaty, T.L.: The Analytic Hierarchy and Analytic Network Processes for the Measurement of Intangible Criteria and for Decision-Making. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)

    Google Scholar 

  40. Schärlig, A.: Décider sur plusieurs cirtères: Panorama de l’aide à la décision multicritère. Presses Polytechniques Universitaires Romandes, Lausanne (1985)

    Google Scholar 

  41. Siskos, Y., Grigoroudis, E., Matsatsinis, N.: UTA methods. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)

    Google Scholar 

  42. T’kindt, V., Billaut, C.: Multicriteria scheduling: Theory, Models and Algorithms. Springer (2006)

    Google Scholar 

  43. Vansnick, J.C.: L’aide multicritère à la Décision: une Activité Profondément Ancrée Dans Son Temps. Newsletter of the Euro Working Group Multicriteria Decision Aiding 6 (1995)

    Google Scholar 

  44. Vincke, P.: L’aide multicritère à la décision, Statistiques et Mathématiques Appliquées, Ellipses, Editions de l’université Libre de Bruxelles, Paris (1989)

    Google Scholar 

  45. Vincke, P.: Multicriteria Decision-Aid. John Wiley and Sons, New York (1992)

    Google Scholar 

  46. Weistroffer, H.R., Smith, C.H., Narula, S.C.: Multiple Criteria Decision Support Software. In: Figueira, J., Greco, S., Ehrgott, M. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, pp. 133–162. Springer, Boston (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Computer and Decision Engineering Departement CoDE-SMG, Ecole polytechnique de Bruxelles, Université libre de Bruxelles, Belgium

    Yves De Smet & Karim Lidouh

Authors
  1. Yves De Smet
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Karim Lidouh
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. MAS Laboratory, Ecole Centrale Paris, Châtenay-Malabry, France

    Marie-Aude Aufaure

  2. Department of Computer and Decision Engineering (CoDE), Université Libre de Bruxelles, Brussels, Belgium

    Esteban Zimányi

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

De Smet, Y., Lidouh, K. (2013). An Introduction to Multicriteria Decision Aid: The PROMETHEE and GAIA Methods. In: Aufaure, MA., Zimányi, E. (eds) Business Intelligence. eBISS 2012. Lecture Notes in Business Information Processing, vol 138. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36318-4_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-36318-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36317-7

  • Online ISBN: 978-3-642-36318-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation