MMN-2950
An accuracy-type order on rough sets
Attila Körei; Sándor Radeleczki; Szilvia Szilágyi;Abstract
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.
Vol. 20 (2019), No. 1, pp. 331-343
DOI: 10.18514/MMN.2019.2950