A Pure Mereological Approach to Roughness

The present paper aims to establish an approach to roughness with mereological relations between information granules rather than common set theoretic relations. With Atomic Granule, the minimum information unit of an information system is encapsulated, which is a triple encoding the semantics “an entity has the relevant attribute of specified value”. Based on it, a granular calculus is built up. Using the granular calculus, according to underlying mereological relations, lower and upper granule approximation is defined to achieve roughness over granular representation of Information System.