IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this article

An exact algorithm for the multicriteria ordered clustering problem

  • De Smet, Yves
  • Nemery, Philippe
  • Selvaraj, Ramkumar

In the context of multicriteria decision aid, we address the problem of regrouping alternatives into completely ordered categories based on valued preference degrees. We assume that the number of groups is fixed a priori. This will be referred to as the multicriteria ordered clustering problem. The model is based on the definition of an inconsistency matrix and only uses the ordinal properties of the pairwise preference relations. An exact algorithm is proposed to find the ordered partition and is applied as illustration to the Human Development Index.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal Omega.

Volume (Year): 40 (2012)
Issue (Month): 6 ()
Pages: 861-869

in new window

Handle: RePEc:eee:jomega:v:40:y:2012:i:6:p:861-869
DOI: 10.1016/
Contact details of provider: Web page:

Order Information: Postal:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Dias, Luis & Mousseau, Vincent & Figueira, Jose & Climaco, Joao, 2002. "An aggregation/disaggregation approach to obtain robust conclusions with ELECTRE TRI," European Journal of Operational Research, Elsevier, vol. 138(2), pages 332-348, April.
  2. Koksalan, Murat & Ulu, Canan, 2003. "An interactive approach for placing alternatives in preference classes," European Journal of Operational Research, Elsevier, vol. 144(2), pages 429-439, January.
  3. Farhad Noorbakhsh, 1998. "The human development index: some technical issues and alternative indices," Journal of International Development, John Wiley & Sons, Ltd., vol. 10(5), pages 589-605.
  4. Belacel, Nabil, 2000. "Multicriteria assignment method PROAFTN: Methodology and medical application," European Journal of Operational Research, Elsevier, vol. 125(1), pages 175-183, August.
  5. Tang, J. C. S. & Espinal, C. G., 1989. "A model to assess country risk," Omega, Elsevier, vol. 17(4), pages 363-367.
  6. Jean-Claude Cosset & Jean Roy, 1991. "The Determinants of Country Risk Ratings," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 22(1), pages 135-142, March.
  7. Frank, Charles Jr. & Cline, William R., 1971. "Measurement of debt servicing capacity: An application of discriminant analysis," Journal of International Economics, Elsevier, vol. 1(3), pages 327-344, August.
  8. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
  9. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, vol. 40(4), pages 488-501.
  10. Cosset, Jean-Claude & Siskos, Yannis & Zopounidis, Constantin, 1992. "Evaluating country risk: A decision support approach," Global Finance Journal, Elsevier, vol. 3(1), pages 79-95.
  11. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
  12. Oral, Muhittin & Kettani, Ossama & Cosset, Jean-Claude & Daouas, Mohamed, 1992. "An estimation model for country risk rating," International Journal of Forecasting, Elsevier, vol. 8(4), pages 583-593, December.
  13. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834, April.
  14. Doumpos, Michael & Zopounidis, Constantin, 2001. "Assessing financial risks using a multicriteria sorting procedure: the case of country risk assessment," Omega, Elsevier, vol. 29(1), pages 97-109, February.
  15. Peng, Yi & Kou, Gang & Wang, Guoxun & Shi, Yong, 2011. "FAMCDM: A fusion approach of MCDM methods to rank multiclass classification algorithms," Omega, Elsevier, vol. 39(6), pages 677-689, December.
  16. Saini, Krishan G. & Bates, Philip S., 1984. "A survey of the quantitative approaches to country risk analysis," Journal of Banking & Finance, Elsevier, vol. 8(2), pages 341-356, June.
  17. Dias, Luis C. & Lamboray, Claude, 2010. "Extensions of the prudence principle to exploit a valued outranking relation," European Journal of Operational Research, Elsevier, vol. 201(3), pages 828-837, March.
  18. 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.
  19. Jiménez, Antonio & Mateos, Alfonso & Ríos-Insua, Sixto, 2009. "Missing consequences in multiattribute utility theory," Omega, Elsevier, vol. 37(2), pages 395-410, April.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:40:y:2012:i:6:p:861-869. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.