On fuzzy Bayesian inference
The author applies Zadeh's extension principle to Bayes' theorem for both fuzzy data and fuzzy priors resulting in fuzzyfied versions of some classical tools in Bayesian statistics, like fuzzy posterior densities, fuzzy Bayes estimators, fuzzy predictive densities and fuzzy highest posterior density regions. For illustration, the exponential density with (conjugate) gamma priors is considered. In my opinion, one question remains open: To what extent is the fuzzyfied classical Bayesian inference indeed a Bayesian inference for random fuzzy variables with random fuzzy priors?
scientific article; zbMATH DE number 550098