Original title:
Comparison of Shenoy’s Expectation Operator with Probabilistic Transforms and Perez’ Barycenter
Authors:
Jiroušek, R. ; Kratochvíl, Václav Document type: Papers Conference/Event: Workshop on Uncertainty Processing (WUPES’18), Třeboň (CZ), 20180606
Year:
2018
Language:
eng Abstract:
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.
Keywords:
Dempster-Shafer theory; expected utility; Shenoy's operator Project no.: MOST-18-04 (CEP), GA16-12010S (CEP) Funding provider: AV ČR, GA ČR Host item entry: Proceedings of the 11th Workshop on Uncertainty Processing (WUPES’18), ISBN 978-80-7378-361-7