Rough Sets and Fuzzy Sets in Interactive Granular Computing.

This paper is an attempt to present some grounds that a change is needed in the way of viewing mathematical tools, such as fuzzy sets, rough sets, in the context of classifying and approximating concepts pertaining to the real physical complex phenomenon. The paper argues in favour of developing models going beyond the pure mathematical manifold. The main idea is not to develop a theory only based on gathered data, rather to incorporate the methods of perception and real physical interactions through which the data is obtained. In this regard, a primary proposal has been put forward to model fuzzy sets and rough sets in the framework of Interactive Granular Computing (IGrC).