Skip to main content

Exploring the Consequences of Imprecise Information in Choice Problems Using ELECTRE

  • Chapter
Aiding Decisions with Multiple Criteria

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 44))

Abstract

ELECTRE I, IS and its variants are well-known methods to help Decision Makers (DMs) choose one action (alternative) from a discrete set. Here, we consider the case where the DMs have difficulties in fixing precise values for all the parameters required by ELECTRE, such as the importance of the criteria, the veto thresholds or the performances of the actions. We indicate how to obtain robust conclusions when the DMs specify a set of multiple acceptable combinations of values for the parameters. We argue that robust conclusions should be studied at the outranking relation level, and then suggest some approaches to enrich such conclusions (introducing a tolerance) and to exploit them.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

  • Bana e Costa. C.A. and Ph. Vincke (1995). Measuring credibility of compensatory preference statements when trade-offs are interval determined, Theory and Decision 39, 127–155.

    Article  Google Scholar 

  • Bouyssou, D. (1992), Ranking methods based on valued preference relations: a characterization of the net-flow method, European Journal of Operational Research 60, 61–68.

    Article  Google Scholar 

  • Büeler, B., A. Enge and K. Fukuda (1998), Exact volume computation for polytopes: a practical study, in Polytopes — Combinatorics and Computation, DMV-Seminars, Birkhäuser Verlag (to appear).

    Google Scholar 

  • Charnetski J.R. and R.M. Soland (1978). Multiple-attribute decision making with partial information: the comparative hyper volume criterion. Naval Research Logistics 25, 278–288.

    Article  Google Scholar 

  • Dias, L. C. and J. N. Clímaco (1999), On computing ELECTRE’s credibility indices under partial information, Journal of Multi-Criteria Decision Analysis 8, 74–92.

    Article  Google Scholar 

  • Dias, L. C. and J. N. Clímaco (2000a), Additive aggregation with variable interdependent parameters: the VIP Analysis software, Journal of the Operational Research Society 51, 1070–1082.

    Google Scholar 

  • Dias, L. C. and J. N. Clímaco (2000b), ELECTRE TRI for Groups with Imprecise Information on Parameter Values, Group Decision and Negotiation 9, 355–377.

    Article  Google Scholar 

  • Dias, L., V. Mousseau, J. Figueira and J. Clímaco (2000), An Aggregation/Disaggregattion approach to obtain robust conclusions with ELECTRE TRI, Cahier du LAMSADE, No. 174, Université Paris-Dauphine. (To appear in EJOR).

    Google Scholar 

  • French, S. (1995), Uncertainty and imprecision: modelling and analysis, Journal of the Operational Research Society 46, 70–79.

    Google Scholar 

  • Greco, S., B. Matarazzo, R. Slowinski amd A. Tsoukiàs (1997), Exploitation of a rough approximation of the outranking relation, Cahier du LAMSADE, No. 152, Université Paris-Dauphine.

    Google Scholar 

  • Lasserre, J.B. (1983), An analytical expression and an algorithm for the volume of a convex polyhedron in ℜn, Journal of Optimization Theory and Applications 39, 363–377.

    Article  Google Scholar 

  • Miettinen, K. and P. Salminen (1999), Decision-aid for discrete multiple criteria decision making problems with imprecise data, European Journal of Operational Research 119, 50–60.

    Article  Google Scholar 

  • Mousseau, V. (1993), Problmes liés à l’evaluation de l’importance relative des critères en aide multicritère à la décision: reflexions théoriques, experimentation et implementation informatique, PhD Thesis, Université Paris-Dauphine.

    Google Scholar 

  • Pirlot, M. (1995), A characterization of ‘Min’ as a procedure for exploiting valued preference relations and related results, Journal of Multi-Criteria Decision Analysis 4, 37–56.

    Article  Google Scholar 

  • Roy, B. (1968), Classement et choix en présence de points de vue multiples (la méthode ELECTRE), Revue Informatique et Recherche Oprationelle, 2e. Anne, No. 8, 57–75.

    Google Scholar 

  • Roy, B. (1989), Main sources of inaccurate determination, uncertainty and imprecision in decision models, Mathematical and Computer Modelling 12, 1245–1254.

    Article  Google Scholar 

  • Roy, B. (1991), The outranking approach and the foundations of ELECTRE methods, Theory and Decision 31, 49–73.

    Article  Google Scholar 

  • Roy, B. (1998), A missing link in OR-DA: robustness analysis, Foundations of Computing and Decision Sciences 23, 141–160.

    Google Scholar 

  • Roy B. and Bouyssou, D. (1993), Aide multicritère à la décision: méthodes et cas, Economica, Paris.

    Google Scholar 

  • Roy, B. e J. M. Skalka (1984), ELECTRE IS: aspects méthodologiques et guide d’utilisation, Document du LAMSADE, No. 30, Université Paris-Dauphine.

    Google Scholar 

  • Saltelli, A., S. Tarantola and K. Chan (1999), A role for sensitivity analysis in presenting the results from MCDA studies to decision makers, Journal of Multi-Criteria Decision Analysis 8, 139–145.

    Article  Google Scholar 

  • Solymosi, T and J. Dombi (1986), A method for determining the weights of the criteria: the centralized weights, European Journal of Operational Research 26, 35–41.

    Article  Google Scholar 

  • Tsoukiàs, A. and Ph. Vincke (1997), Extended preference structures in multicriteria decision aid, in Clímaco, J. (ed.), Multicriteria analysis, Springer, 37–50.

    Google Scholar 

  • Vincke, Ph. (1999), Robust solutions and methods in decision aid, Journal of Multi-Criteria Decision Analysis 8, 181–187.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Denis Bouyssou Eric Jacquet-Lagrèze Patrice Perny Roman Słowiński Daniel Vanderpooten Philippe Vincke

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media New York

About this chapter

Cite this chapter

Dias, L.C., Clímaco, J. (2002). Exploring the Consequences of Imprecise Information in Choice Problems Using ELECTRE. In: Bouyssou, D., Jacquet-Lagrèze, E., Perny, P., Słowiński, R., Vanderpooten, D., Vincke, P. (eds) Aiding Decisions with Multiple Criteria. International Series in Operations Research & Management Science, vol 44. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0843-4_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-0843-4_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5266-2

  • Online ISBN: 978-1-4615-0843-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics