Perspectives on the Integration of Fuzzy and Case-Based Reasoning Systems

We discuss relations and differences between fuzzy and case based reasoning methods in order to indicate possibilities for future research activities. We interpret the basic concepts of each approach in terms of the other one and discuss the computational methods in particular from an knowledge engineering point of view. I. Preliminary Remarks The intention of this note is to point out relations and differences between fuzzy set theory and case based reasoning, to discuss problems arising in this context and to indicate possibilities for future research activities. In fuzzy theory the notion of vaguely described sets is central. In case based reasoning the central notion of similarity deals also with some kind of vagueness. Both approaches have in common that they are not based on classical binary logic. They have raised considerable interest in various disciplines including computer science, mathematics and cognitive science and have led to many consequences and a rich theory. Both areas are also of high to practical interest. In particular fuzzy control plays an important commercial role but also case based reasoning has entered the commercial world.