Topological characterization of rough set on two universal sets and knowledge representation

Abstract

The notion of rough set captures indiscernibility of elements in a set. But, in many real life situations, an information system establishes the relation between different universes. This gave the extension of rough set on single universal set to rough set on two universal sets. In this paper, we introduce an interesting topological characterization of rough set on two universal sets employing the notion of the lower and upper approximation. Also, we study some basic set theoretic operations on the types of rough sets formed by the topological characterization. In addition to that, we provide a real life example for the depth classification of the concept. © 2012 Springer-Verlag.