Measurement of membership functions

theoretical and empirical work

Taner Bilgiç

I. Burhan Türkşen

pp. 195-227

in: Didier Dubois, Henri Prade (eds), Fundamentals of fuzzy sets, Berlin, Springer, 2000

Abstract

This chapter presents a review of various interpretations of the fuzzy membership function together with ways of obtaining a membership function. We emphasize that different interpretations of the membership function call for different elicitation methods. We try to make this distinction clear using techniques from measurement theory.