On topological dominance-based rough set approach

Authors:
Salvatore Greco;Benedetto Matarazzo;Roman Słowiński
Affiliations:
Faculty of Economics, University of Catania, Corso Italia, Catania, Italy;Faculty of Economics, University of Catania, Corso Italia, Catania, Italy;Institute of Computing Science, Poznań University of Technology, Poznań and Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland
Venue:
Transactions on rough sets XII
Year:
2010

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Abstract

In this article, we characterize the Dominance-based Rough Set Approach (DRSA) from the point of view of its topological properties. Using the concept of a bitopological space, we extend to DRSA the classical results known for the original rough set approach. Moreover, we introduce a topological approach to ordinal classification. These considerations intend to strengthen theoretical foundations of DRSA, giving a deeper knowledge of its specific characteristics.