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.
|Title of host publication||Rough sets and current trends in computing|
|Subtitle of host publication||first international conference, RSCTC’98 Warsaw, Poland, June 22–26, 1998 proceedings|
|Editors||Lech Polkowski, Andrzej Skowron|
|Place of Publication||Berlin, Germany|
|Number of pages||8|
|Publication status||Published - Jun 1998|
|Name||Lecture notes in computer science|