Are grades of membership probabilities?
A small sample is given of the difficulties with present-day fuzzy set theory with respect to the requirements of a scientific theory; and a summary of some probabilistic interpretations of grades of membership to be found in the literature. The ``TEE model'' for grades of membership is then suggested. A membership value \(\mu_{\lambda}(u^{ex})\) is identified with the subject's estimate of the probability that the label \(\lambda\) (e.g. \(\lambda =tall)\) would be assigned to an object of exact attribute value \(u^{ex}\) in a natural language situation.
probabilistic interpretations of grades of membership
scientific article; zbMATH DE number 4085654
scientific article