Stochastics and Fuzzy Information

Besides variability there is another kind of uncertainty in statistical data, i.e. so-called fuzziness of all kind of data from continuous quantities. This and the uncertainty of a-priori knowledge in Bayesian inference makes it necessary to incorporate fuzziness in stochastics. A more general concept of probability, so-called fuzzy probability distributions seems to be the best up-to-date mathematical structure to model a-priori information. The combination of stochastic models and fuzzy models is suitable to analyze fuzzy data. Related statistical inference procedures will be explained.