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A New Rough Set Approach to Multicriteria and Multiattribute Classification

  • Salvatore Greco
  • Benedetto Matarazzo
  • Roman Slowinski
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1424)

Abstract

As pointed out by Greco, Matarazzo and Slowinski [1] the original rough set approach does not consider criteria, i.e. attributes with ordered domains. However, in many real problems the ordering properties of the considered attributes may play an important role. E.g. in a bankruptcy evaluation problem, if firm A has a low value of the debt ratio (Total debt/Total assets) and firm B has a large value of the same ratio, within the original rough set approach the two firms are just discernible, but no preference is established between them two with respect to the attribute “debt ratio”. Instead, from a decisional point of view, it would be better to consider firm A as preferred to firm B, and not simply “discernible”, with respect to the attribute in question.

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References

  1. 1.
    Greco S., Matarazzo, B., Slowinski, R.: Rough approximation of a preference relation by dominance relations, ICS Research Report 16, Warsaw University of Technology, Warsaw, (1996) and to be published on European Journal of Operational Research.Google Scholar
  2. 2.
    Greco, S., Matarazzo, B. Slowinski, R.: A new rough set approach to evaluation of bankruptcy risk, in C. Zopounidis (ed.), Operational Tools in the Management of Financial Risks, Kluwer, Dordrecht, (1998), 121–136.Google Scholar
  3. 3.
    Grzymala-Busse, J.W: LERS-a system for learning from examples based on rough sets, in R. Slowinski, (ed.), Intelligent Decision Support. Handbook of Applications and Advances of the Rough Sets Theory, Kluwer Academic Publishers, Dordrecht, (1992), 3–18.Google Scholar
  4. 4.
    Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers, Dordrecht, (1991).zbMATHGoogle Scholar
  5. 5.
    Pawlak, Z.: Rough set approach to knowledge-based decision support, European Journal of Operational Research, 99, (1997), 48–57.zbMATHCrossRefGoogle Scholar
  6. 6.
    Roy, B.: Méthodologie Multicritère d’Aide à la Décision, Economica, Paris, (1985).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Salvatore Greco
    • 1
  • Benedetto Matarazzo
    • 1
  • Roman Slowinski
    • 2
  1. 1.Faculty of EconomicsUniversity of CataniaCataniaItaly
  2. 2.Institute of Computing SciencePoznan University of TechnologyPoznanPoland

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