A formal model of interpretability of linguistic variables

Autoren Ulrich Bodenhofer
Peter Bauer
Editoren J. Casillas
O. Cordón
F. Herrera
L. Magdalena
Titel A formal model of interpretability of linguistic variables
Buchtitel Interpretability Issues in Fuzzy Modeling
Typ in Sammelband
Verlag Springer
Serie Studies in Fuzziness and Soft Computing
Band 128
Note invited
ISBN 3-540-02932-X
Jahr 2003
Seiten 524-545
SCCH ID# 156
Abstract

The present contribution is concerned with the interpretability of fuzzy rule-based systems. While this property is widely considered to be a crucial one in fuzzy rule-based modeling, a more detailed investigation of what “interpretability” actually means is still missing. So far, interpretability has often been associated with heuristic assumptions about shape and mutual overlapping of fuzzy membership functions. In this chapter, we attempt to approach this problem from a more general and formal point of view. First, we clarify what, in our opinion, the different aspects of interpretability are. Following that, we propose an axiomatic framework for the interpretability of linguistic variables (in Zadeh’s sense) which is underlined by examples and application perspectives