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Learning non-monotonic additive value functions for multicriteria decision making

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Abstract

Multiattribute additive value functions constitute an important class of models for multicriteria decision making. Such models are often used to rank a set of alternatives or to classify them into pre-defined groups. Preference disaggregation techniques have been used to construct additive value models using linear programming techniques based on the assumption of monotonic preferences. This paper presents a methodology to construct non-monotonic value function models, using an evolutionary optimization approach. The methodology is implemented for the construction of multicriteria models that can be used to classify the alternatives in pre-defined groups, with an application to credit rating.

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References

  • Bana e Costa C, Vansnick J (1994) MACBETH: an interactive path towards the construction of cardinal value functions. Int Trans Oper Res 1(4): 489–500

    Article  Google Scholar 

  • Belton V, Stewart T (2002) Multiple criteria decision analysis: an integrated approach. Kluwer, Dordrecht

    Google Scholar 

  • Despotis D, Zopounidis C (1995) Building additive utilities in the presence of nonmonotonic preference. In: Pardalos PM, Siskos Y, Zopounidis C (eds) Advances in multicriteria analysis. Kluwer, Dordrecht, pp 101–114

    Google Scholar 

  • Dietterich T (1998) Approximate statistical tests for comparing supervised classification learning algorithms. Neural Comput 10(7): 1895–1923

    Article  Google Scholar 

  • Fawcett T (2006) An introduction to ROC analysis. Pattern Recogn Lett 27: 861–874

    Article  Google Scholar 

  • Greco S, Matarazzo B, Slowinski R (2001) Rough sets theory for multicriteria decision analysis. Eur J Oper Res 129: 1–47

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Keeney R, Raiffa H (1993) Decisions with multiple objectives: preferences and value trade-offs. Cambridge University Press, Cambridge

    Google Scholar 

  • Köksalan M, Ulu C (2003) An interactive approach for placing alternatives in preference classes. Eur J Oper Res 144:429–439

    Article  Google Scholar 

  • Krink T, Paterlini S, Resti A (2007) Using differential evolution to improve the accuracy of bank rating systems. Comput Stat Data Anal 52: 68–87

    Article  Google Scholar 

  • Paterlini S, Krink T (2006) Differential evolution and particle swarm optimisation in partitional clustering. Comput Stat Data Anal 50: 1220–1247

    Article  Google Scholar 

  • Price K, Storn R, Lampinen J (2005) Differential evolution: a practical approach to global optimization. Springer, Heidelberg

    Google Scholar 

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

    Article  Google Scholar 

  • Siskos Y, Yannacopoulos D (1985) UTASTAR: an ordinal regression method for building additive value functions. Investigação Operacional 5(1): 39–53

    Google Scholar 

  • Storn R (1996) On the usage of differential evolution for function optimization. In: Smith M, Lee M, Keller J, Yen J (eds) NAFIPS. IEEE Press, Berkley, pp 519–523

    Google Scholar 

  • Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Global Optimization 11: 341–359

    Article  Google Scholar 

  • Zopounidis C, Doumpos M (1999) A multicriteria decision aid methodology for sorting decision problems: The case of financial distress. Comput Econ 14(3): 197–218

    Article  Google Scholar 

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Correspondence to Michael Doumpos.

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Doumpos, M. Learning non-monotonic additive value functions for multicriteria decision making. OR Spectrum 34, 89–106 (2012). https://doi.org/10.1007/s00291-010-0231-2

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