### #90. Old thesis by Joe Halliwell

As tends to be the case, looking for something else I came across the following.

Halliwell criticizes some notions of fuzzy probability and presents his own. The application emphasis is in Bayesian networks. Being out of my element, I can't say whether his axioms of fuzzy probability are original, since they are the same properties underlined in e.g. Wolfgang Trutschnig's paper

**Joe Halliwell (2007).***Linguistic Probability Theory*. Ph.D.Thesis, University of Edinburgh.Halliwell criticizes some notions of fuzzy probability and presents his own. The application emphasis is in Bayesian networks. Being out of my element, I can't say whether his axioms of fuzzy probability are original, since they are the same properties underlined in e.g. Wolfgang Trutschnig's paper

*A strong consistency result for fuzzy relative frequencies interpreted as estimator for the fuzzy-valued probability*(Fuzzy Sets and Systems 159 (2008) 259 – 269), and I presume similar properties must have been spotted long ago in interval-valued probability.
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