Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Log in

A multicriteria decision support system with an evolutionary algorithm for deriving final ranking from a fuzzy outranking relation

  • Original Paper
  • Published:
Operational Research Aims and scope Submit manuscript

Abstract

The paper presents a new version of the multicriteria decision support system SADAGE for solving ranking problems: how to rank a set of alternatives—having evaluations in terms of several criteria—in decreasing order of preference. It uses the ELECTRE III methodology to construct a fuzzy outranking relation, and then a genetic algorithm (GA) or a multiobjective evolutionary algorithm (MOEA) to exploit it and to obtain a recommendation. The GA and the MOEA approaches rest on the main idea of reducing differences between the global model of preferences and the final ranking. The system operation is showed within an illustrating example.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Bouyssou D, Vincke P (1997) Ranking alternatives on the basis of preference relations: a progress report with special emphasis on outranking relations. J Multi-Criteria Decis Anal 6:77–85

    Article  Google Scholar 

  • Brans JP, Vincke P, Mareschal B (1986) How to select and how to rank projects: The PROMETHEE method. Eur J Oper Res 24:228–238

    Article  Google Scholar 

  • Fernández Gonzalez E, Leyva López JC (2004) A method based on multiobjective optimization for deriving a ranking from a fuzzy preference relation. Eur J Oper Res 154(1):110–124

    Article  Google Scholar 

  • Fodor J, Roubens M (1994) Fuzzy preference modeling and multicriteria decision support. Kluwer, Dordrecht

    Google Scholar 

  • Fonseca CM, Fleming PJ (1993) Genetic algorithms for multiobjective optimization: formulation, discussion and generalization. In: Genetic algorithms: proceedings of the fifth international conference. Morgan Kaufmann, Los Altos, pp 416–423

  • French S (1986) Decision theory: an introduction to the mathematics of rationality. Halsted Press, New York

    Google Scholar 

  • Goldberg D (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading

  • Keen PGW, Scott Morton MS (1978) Decision support systems, an organizational perspective. Addison-Wesley, Reading

  • Keeney R, Raiffa H (1976) Decision with multiple objectives: preferences and value tradeoffs. Wiley, New York

    Google Scholar 

  • Leyva López JC (2005) Multicriteria decision aid application to a student selection problem. Pesqui Oper 25(1):45–68

    Article  Google Scholar 

  • Leyva López JC, Aguilera Contreras MA (2005) A multiobjective evolutionary algorithm for deriving final ranking from a fuzzy outranking relation. In: Coello Coello CA, Zitzler E, Hernández Aguirre A (eds) Evolutionary multi-criterion optimization. Third international conference, EMO 2005. Lecture notes in computer science, vol 3410, pp 235–249. Springer, Heidelberg

  • Leyva López JC, Dautt Sánchez L (2005) A new decision support system for rank a finite set of multicriteria alternatives. Invest Oper 26(3):1–11

    Google Scholar 

  • Leyva López JC, Fernández González E (1999) A genetic algorithm for deriving final ranking from a fuzzy outranking relation. Found Comput Decis Sci 24(1):33–47

    Google Scholar 

  • Michalewicz Z (1996) Genetic algorithms + data structures = evolution programs. Springer, Berlin

    Google Scholar 

  • Orlovski SA (1978) Decision-making with a fuzzy preference relation. Fuzzy Sets Syst 1:155–167

    Article  Google Scholar 

  • Roy B (1990) The outranking approach and the foundations of ELECTRE methods. In: Bana e Costa CA (ed) Reading in multiple criteria decision aid. Springer, Berlin, pp 155–183

  • Roy B (1996) Multicriteria methodology for decision aiding. Kluwer, Dordrecht

    Google Scholar 

  • Roy B (1977) Partial preference analysis and decision aid: the fuzzy outranking relation concept. In: Bell DE, Keeney RL, Raiffa H (eds) Conflicting objectives in decisions. Wiley, Chichester, pp 40–75

  • Turban E, Aronson JE (2001) Decision support systems and intelligent systems. Prentice-Hall, New Jersey

    Google Scholar 

  • Vallée D, Zielniewicz P (1994) ELECTRE III–IV, version 3.x—Aspects methodologiques. Université de Paris-Dauphine, Document du LAMSADE, no. 82, 52 p

  • Vanderpooten D (1990) The construction of prescriptions in outranking methods. In: Bana e Costa CA (ed) Reading in multiple criteria decision aid. Springer, Berlin, pp 184–215

Download references

Author information

Authors and Affiliations

  1. Universidad de Occidente, Culiacán, Sinaloa, Mexico

    Juan Carlos Leyva López

  2. Universidad Autónoma de Sinaloa, Culiacán, Sinaloa, Mexico

    Juan Carlos Leyva López, Lizbeth Dautt Sánchez & Miguel Angel Aguilera Contreras

Authors
  1. Juan Carlos Leyva López
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lizbeth Dautt Sánchez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Miguel Angel Aguilera Contreras
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Juan Carlos Leyva López.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leyva López, J.C., Dautt Sánchez, L. & Aguilera Contreras, M.A. A multicriteria decision support system with an evolutionary algorithm for deriving final ranking from a fuzzy outranking relation. Oper Res Int J 8, 47–62 (2008). https://doi.org/10.1007/s12351-008-0006-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12351-008-0006-6

Keywords

Search

Navigation