0490891 20240111141003.420180709235959.9 9 s. P cav_un_epca*0490306978-80-7378-361-787-95PrahaMatfyzPress, Publishing House of the Faculty of Mathematics and Physics Charles University2018KratochvílVáclavVejnarováJiřina expected utility Dempster-Shafer theory Shenoy's operator cav_un_auth*0207975 Jiroušek R. CZ cav_un_auth*0216188 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 50 Kratochvíl Václav UTIA-B CZ Ústav teorie informace a automatizace AV ČR, v. v. i. PDF http://library.utia.cas.cz/separaty/2018/MTR/jirousek-0490891.pdf cav_un_auth*0356801 MOST-18-04 AV ČR CZ TW GA16-12010S GA ČR CZ cav_un_auth*0332303 Shenoy’s paper published in this Proceedings of WUPES 2018 introduces an operator that gives instructions how to compute an expected value in the Dempster-Shafer theory of evidence. Up to now, there was no direct way to get the expected value of a utility function in D-S theory. If eeded, one had to find a probability mass function corresponding to the considered belief function, and then - using this probability mass function - to compute the classical probabilistic expectation. In this paper, we take four different approaches to defining probabilistic representatives of a belief function and compare which one yields to the best approximations of Shenoy’s expected values of various utility functions. The achieved results support our conjecture that there does not exist a probabilistic representative of a belief function that would yield the same expectations as the Shenoy’s new operator. cav_un_auth*0361637 Workshop on Uncertainty Processing (WUPES’18) 20180606 20180609 Třeboň CZ BA 10000 10100 10101 2019 2 PR RVO:67985556 http://hdl.handle.net/11104/0285277 S 8 2018 PDF cav_un_epca*0490306 Proceedings of the 11th Workshop on Uncertainty Processing (WUPES’18) MatfyzPress, Publishing House of the Faculty of Mathematics and Physics Charles University 2018 Praha 87 95 978-80-7378-361-7 340 Kratochvíl Václav 340 Vejnarová Jiřina