Second-order rough approximations in multi-criteria classification with imprecise evaluations and assignments

K. Dembczynski, Salvatore Greco, R. Slowinski

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review


The rough approximations are considered in the context of multi-criteria classification problem where evaluations of objects on particular criteria and their assignments to decision classes are imprecise and given in the form of intervals of possible values. Within Dominance-based Rough Set Approach (DRSA), the lower and upper approximations reflect the inconsistencies with respect to dominance principle. In the considered case, also the interval assignments have to be taken into account. This requires a new formulation of the dominance principle. A possible solution to the problem consists in introducing the second-order rough approximations. The methodology based on these approximations preserves well-known properties of rough approximations, such as rough inclusion, complementarity, identity of boundaries and monotonicity.
Original languageEnglish
Title of host publicationRough sets, fuzzy sets, data mining, and granular computing: proceedings of the 10th international conference. Vol. 1
EditorsD. Slezak, G. Wang, M. Szczuka, I. Duntsch, Y. Yao
Place of PublicationBerlin
Number of pages10
ISBN (Print)9783540286530
Publication statusPublished - Sep 2005

Publication series

NameLecture notes in computer science
ISSN (Print)0302-9743

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