On Topological Dominance-based Rough Set Approach

摘要

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.