"Possible Definitions of an ’A Priori’ Granule in General Rough Set Theory" by A. Mani

Abstract

We introduce an abstract framework for general rough set theory from a mereological perspective and consider possible concepts of ’a priori’ granules and granulation in the same. The framework is ideal for relaxing many of the relatively superfluous set-theoretic axioms and for improving the semantics of many relation based, cover-based and dialectical rough set theories. This is a relatively simplified presentation of a section in three different recent research papers by the present author.