Generalizing rough set theory through dominance-based rough set approach

  • Authors:

  • Salvatore Greco;Benedetto Matarazzo;Roman Słowiński

  • Affiliations:

  • Faculty of Economics, University of Catania, Catania, Italy;Faculty of Economics, University of Catania, Catania, Italy;,Institute of Computing Science, Poznań University of Technology, Poznań

  • Venue:
  • RSFDGrC'05 Proceedings of the 10th international conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing - Volume Part II
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

Ordinal properties of data related to preferences have been taken into account in the Dominance-based Rough Set Approach (DRSA). We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand. In general terms, monotonicity concerns relationship between different aspects of a phenomenon described by data: for example, “the larger the house, the higher its price” or “the closer the house to the city centre, the higher its price”. In this perspective, the DRSA gives a very general framework in which the classical rough set approach based on indiscernibility relation can be considered as a special case.