Measurement of membership functions: Theoretical and empirical work (Q2702359)

This paper presents a review of various interpretations of the fuzzy membership function, e.g. the likelihood view, the random set view, the similarity view, the utility view and the measurement view. In a second part ways of obtaining a membership function are presented, e.g. polling, direct rating, reverse rating, interval estimation, membership exemplification and pairwise comparison. The authors emphasize that different interpretations call for different elicitation methods and try to make this distinction clear using techniques from measurement theory.NEWLINENEWLINEFor the entire collection see [Zbl 0942.00007].