An initial comparison of fuzzy sets and rough sets from the view of pansystems theory

Abstract

This paper reviews the basic relation of classical set theory: membership relation (/spl epsi/). From the inducement of membership relation we can get other relations or operations of set theory, such as part-whole relation one of which is inclusion relation (/spl sube/), and body-shadow relation and so on. On the other hand this paper introduces our work about the integration of pansystems theory and rough set theory. And in the view of pansystems theory we compare theories of fuzzy sets and rough sets. Furthermore we get the initial conclusion that fuzzy set theory and rough set theory are both the generalizations of classical set theory but in different facets in a sense. One is the quantitative generalization of membership relation and the other is the qualitative generalization. So there are intrinsic connections between the two theories.