id author title date pages extension mime words sentences flesch summary cache txt work_jheoydk3s5butm6zfif4wf6wnm Peter Walley Measures of uncertainty in expert systems 1996 58 .pdf application/pdf 30112 2746 61 lower (or upper) previsions, belief functions (used in the Dempster-Shafer theory) and possibility measures (fuzzy logic). probabilities, coherent lower previsions, belief functions and possibility measures. probabilities or models defined in terms of upper and lower density functions or mass is of interest because the other theories examined in this paper (Bayesian, belief functions and possibility theory) attempt to define conditional probabilities and expectations In Shafer's canonical example, the belief function is generated from an underlying precise probability measure through a multivalued mapping (defined below). Natural extension produces a lower probability model that is not a belief function (it is (See [ 1!>,23,48] for interesting comparisons of the two rules.) Natural extension produces conditional upper and lower probabilities that are coherent with the unconditional The conditional upper and lower probabilities generated by natural extension can be easily computed as follows: ./cache/work_jheoydk3s5butm6zfif4wf6wnm.pdf ./txt/work_jheoydk3s5butm6zfif4wf6wnm.txt