A New Rough Set Approach to Multicriteria and Multiattribute Classification
- 665 Downloads
As pointed out by Greco, Matarazzo and Slowinski  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.
Unable to display preview. Download preview PDF.
- 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.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.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
- 6.Roy, B.: Méthodologie Multicritère d’Aide à la Décision, Economica, Paris, (1985).Google Scholar