A New Rough Set Approach to Multicriteria and Multiattribute Classification

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.