Algebraic structures for 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 and Institute for Systems Research, Polish Academy of Sciences, Warsaw, Poland
Venue:
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Year:
2008

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Abstract

Dominance-based Rough Set Approach (DRSA) has been proposed to generalize classical rough set approach when monotonicity between memberships to considered concepts has to be taken into account. This is typical for data describing various phenomena, e.g., "the larger the mass and the smaller the distance, the larger the gravity". These monotonicity relationships are fundamental in rough set approach to multiple criteria decision analysis. In this paper, we propose an algebraic structure for DRSA.