Rough set granularity: Scott systems approach

Abstract

The paper addresses the problem of concept formation (in other words, knowledge granulation) in the framework of rough set theory. The proper treatment of this problem requires taking into account both the dynamics of the universe and different scales at which concepts may be formed. These both aspects have been already separately discussed in rough set theory, with special emphasis put upon the Granular Computing paradigm as a suitable framework to deal with different scales of description. Following the example of the game Life, construed by Hawking as a simple means of explaining the process of concept formation in science, we shall describe a corresponding dynamics in Pawlak information systems. © 2013 Springer-Verlag.