A formal model of interpretability of linguistic variables

Autoren Ulrich Bodenhofer
Peter Bauer
Editoren J. Casillas
O. Cordón
F. Herrera
L. Magdalena
TitelA formal model of interpretability of linguistic variables
BuchtitelInterpretability Issues in Fuzzy Modeling
Typin Sammelband
VerlagSpringer
SerieStudies in Fuzziness and Soft Computing
Band128
Noteinvited
ISBN3-540-02932-X
Jahr2003
Seiten524-545
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