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Combining Fuzzy and Statistical Uncertainty: Probabilistic Fuzzy Systems and Their Applications
March 17, 2014 @ 1:30 pm - 2:30 pm
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Speaker
Jan van den Berg
(TU Delft - TPM)
Abstract
Two complementary conceptualizations of uncertainty will be discussed: fuzzy and statistical uncertainty. These uncertainties can be combined into one theory on probabilistic fuzzy events. Using this theory, classical fuzzy systems can be generalized to probabilistic fuzzy systems (PFS). PFS can be induced using both expert knowledge and data enabling both interpretability and accuracy (despite the fact there remains an accuracy-interpretability dilemma we have to deal with in practice). To finalize, one or two examples of PFSs we developed will be shown.