AN ACCURACY-TYPE ORDER ON ROUGH SETS.

We introduce a new order on rough sets inspired by the notion of accuracy measure. Rough sets ordered by this accuracy-type order form a complete lattice, which is isomorphic to the lattice where rough sets are ordered traditionally by the inclusion relation. Although the lattices are order-isomorphic, the elements can be totally differently located in them. The isomorphy of the lattices is verified by introducing the so-called boundary representation of rough sets. Some basic properties of the introduced order are also presented and an illustrative example demonstrates the relationship between the different structures. [ABSTRACT FROM AUTHOR]