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Regularized estimation for preference disaggregation in multiple criteria decision making

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Abstract

Disaggregation methods have been extensively used in multiple criteria decision making to infer preferential information from reference examples, using linear programming techniques. This paper proposes simple extensions of existing formulations, based on the concept of regularization which has been introduced within the context of the statistical learning theory. The properties of the resulting new formulations are analyzed for both ranking and classification problems and experimental results are presented demonstrating the improved performance of the proposed formulations over the ones traditionally used in preference disaggregation analysis.

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References

  1. Bouyssou, D., Marchant, T.: An axiomatic approach to noncompensatory sorting methods in MCDM, I: the case of two categories. Working paper, LAMSADE, Université Paris Dauphine (2004).

  2. Doumpos, M., Zopounidis, C.: Multicriteria Decision Aid Classification Methods. Kluwer Academic, Dordrecht (2002)

    MATH  Google Scholar 

  3. Hand, D.J., Till, R.J.: A simple generalisation of the area under the ROC curve for multiple class classification problems. Mach. Learn. 45, 171–186 (2001)

    Article  MATH  Google Scholar 

  4. Hastie, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning: Data Mining, Inference and Prediction. Springer, New York (2001)

    MATH  Google Scholar 

  5. Jacquet-Lagrèze, E., Siskos, Y.: Assessing a set of additive utility functions for multicriteria decision making: the UTA method. Eur. J. Oper. Res. 10(2), 151–164 (1982)

    Article  MATH  Google Scholar 

  6. Jacquet-Lagrèze, E., Siskos, Y.: Preference disaggregation: Twenty years of MCDA experience. Eur. J. Oper. Res. 130(2), 233–245 (2001)

    Article  MATH  Google Scholar 

  7. Keeney, R.L., Raiffa, H.: Decisions with Multiple Objectives: Preferences and Value Trade-offs. Cambridge University Press, Cambridge (1993)

    Google Scholar 

  8. Moody, J.E.: The effective number of parameters: An analysis of generalization and regularization in nonlinear learning systems. In: Moody, J.E., Hanson, S.J., Lippmann, R.P. (eds.) Advances in Neural Information Processing Systems, pp. 847–854. MIT, Cambridge (1992)

    Google Scholar 

  9. Mousseau, V., Figueira, J., Naux, J.Ph.: Using assignment examples to infer weights for ELECTRE TRI method: Some experimental results. Eur. J. Oper. Res. 130(2), 263–275 (2001)

    Article  MATH  Google Scholar 

  10. Mousseau, V., Slowinski, R.: Inferring an ELECTRE-TRI model from assignment examples. J. Glob. Optim. 12(2), 157–174 (1998)

    Article  MATH  Google Scholar 

  11. Roy, B.: The outranking approach and the foundations of ELECTRE methods. Theory Decis. 31(1), 49–73 (1991)

    Article  Google Scholar 

  12. Schölkopf, B., Smola, A.: Learning with Kernels: Support Vector Machines, Regularization, Optimization and Beyond. MIT, Cambridge (2002)

    Google Scholar 

  13. Zopounidis, C., Doumpos, M.: Multicriteria classification and sorting methods: a literature review. Eur. J. Oper. Res. 138(2), 229–246 (2002)

    Article  MATH  Google Scholar 

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Correspondence to Michael Doumpos.

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Doumpos, M., Zopounidis, C. Regularized estimation for preference disaggregation in multiple criteria decision making. Comput Optim Appl 38, 61–80 (2007). https://doi.org/10.1007/s10589-007-9037-9

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  • DOI: https://doi.org/10.1007/s10589-007-9037-9

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