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A General Model of Preference Aggregation

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Essays In Decision Making

Abstract

A general model is presented which encompasses many procedures used for aggregating preferences in multicriteria decision making (or decision aid) methods. Are covered in particular: MAUT, ELECTRE and several other outranking methods. The main interest of the model is to provide a key for understanding the differences between methods. Methods are analyzed in terms of their way of dealing with “preference differences” on each criterion/attribute. The more or less large number of equivalence classes of preference differences that can be distinguished in a method helps to situate it in a continuum going from compensatory to noncompensatory procedures, from cardinal to ordinal methods.

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References

  1. Bell, D.E., H. Raiffa, and A. Tversky (1988). Decision making: descriptive, normative and prescriptive interactions. Cambridge University Press.

    Book  Google Scholar 

  2. Bouyssou, D. (1986). Some remarks on the notion of compensation in MCDM. European Journal of Operational Research 26, 150–160.

    Article  Google Scholar 

  3. Bouyssou, D. and M. Pirlot (1996). A general framework for the aggregation of semiorders. Technical report, ESSEC, Cergy-Pontoise. Submitted.

    Google Scholar 

  4. Bouyssou, D. and J.-C. Vansnick (1986). Noncompensatory and generalized noncompensatory preference structures. Theory and Deciston 21, 251-266.

    Google Scholar 

  5. Brans, J, P. and Ph. Vincke (1985). A preference ranking Organization method. Management Science 31(6), 647–656.

    Article  Google Scholar 

  6. Fishburn, P. C. (1976). Noncompensatory preferences. Synthese 33, 393–403.

    Google Scholar 

  7. Fishburn, P. C. (1990). Continuous nontransitive additive conjoint measurement. Mathematical Social Sciences 20, 165–193.

    Google Scholar 

  8. Fishburn, P. C. (1991a). Nontransitive preferences in decision theory. Journal of Risk and Uncertainty 4, 113–134.

    Article  Google Scholar 

  9. Fishburn, P. C. (1991b). Nontransitive additive conjoint measurement. Journal of Mathematical Psychology 35, 1–40.

    Article  Google Scholar 

  10. Fishburn, P. C. (1992). Additive differences and simple preference comparisons. Journal of Mathematical Psychology 36, 21–31.

    Article  Google Scholar 

  11. Keeney, R. and H. Raiffa (1976). Decisions with multiple objcctives; preferences and valued trade-offs. Wiley.

    Google Scholar 

  12. Krantz, D.M., R.D. Luce, P. Suppes, and A. Tversky (1978). Foundations of Measurement I. Academic mattyPres

    Google Scholar 

  13. Luce, R. D. (1956). Semi-orders and a theory of utility discrimination. Econometrica 24, 178–191.

    Article  Google Scholar 

  14. Pirlot, M. (1996). A common framework for describing some outranking methods. To appear in Journal of Multicriteria Decision Analysis.

    Google Scholar 

  15. Roubens, M. and Ph. Vincke (1985). Preference modelling, Volume 250 of Lecture Notes in Economics and Mathematical Systems. Springer.

    Google Scholar 

  16. Roy, B. (1968). Classement et choix en presence de points de vue multiples (la méthode Electre). Revue Française d’Informatique et de Recherche Opérationnelle 8, 57–75.

    Google Scholar 

  17. Roy, B. (1985). Méthodologie Multicritère d’Aide à la Décision. Economica.

    Google Scholar 

  18. Roy, B. (1993). Decision science or decision-aid science ? European Journal of Operational Research 66(2), 184–204.

    Article  Google Scholar 

  19. Roy, B. and D. Bouyssou (1993). Aide Multicritère à la Décision: Methodes et cas. Economica.

    Google Scholar 

  20. Tversky, A. (1969). Intransitivity of preferences. Psychological Review 76, 31–48.

    Article  Google Scholar 

  21. Vansnick, J.-C. (1986). On the problem of weights in multiple criteria decision making. European Journal of Operational Research 24, 288–294.

    Article  Google Scholar 

  22. Vincke, Ph. (1992). Multicriteria Decision-Aid. Wiley.

    Google Scholar 

  23. Vind, K. (1991). Independent preferences. Journal of Mathematical Economics 20, 119–135.

    Article  Google Scholar 

  24. von Winterfeldt, D. and W. Edwards (1986). Decision analysis and behavioral research. Cambridge University Press.

    Google Scholar 

  25. Wakker, P. P. (1989). Additive representations of preferences. A new foundation of decision analysis. Kluwer.

    Google Scholar 

  26. Zionts, S. (1992). Some thoughts on research in multiple criteria decision making. Computers and Operations Research 19(7), 567–570.

    Article  Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Bouyssou, D., Pirlot, M., Vincke, P. (1997). A General Model of Preference Aggregation. In: Karwan, M.H., Spronk, J., Wallenius, J. (eds) Essays In Decision Making. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60663-2_9

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  • DOI: https://doi.org/10.1007/978-3-642-60663-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64499-3

  • Online ISBN: 978-3-642-60663-2

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