TY - GEN TI - Comparison of Shenoy’s Expectation Operator with Probabilistic Transforms and Perez’ Barycenter T3 - Workshop on Uncertainty Processing (WUPES’18) AU - Jiroušek, R. AB - 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. SN - 978-80-7378-361-7 UR - http://www.nusl.cz/ntk/nusl-383515 UR - http://hdl.handle.net/11104/0285277 A2 - Kratochvíl, Václav LA - eng KW - expected utility KW - Dempster-Shafer theory KW - Shenoy's operator PY - 2018 PB - Ústav teorie informace a automatizace, Pod vodárenskou věží 4, 182 08 Praha 8, http://www.utia.cas.cz/ ER -