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Bibliografie

Conference Paper (Czech conference)

Comparison of Shenoy’s Expectation Operator with Probabilistic Transforms and Perez’ Barycenter

Jiroušek R., Kratochvíl Václav

: Proceedings of the 11th Workshop on Uncertainty Processing (WUPES’18), p. 87-95 , Eds: Kratochvíl Václav, Vejnarová Jiřina

: Workshop on Uncertainty Processing (WUPES’18), (Třeboň, CZ, 20180606)

: MOST-18-04, AV ČR, GA16-12010S, GA ČR

: expected utility, Dempster-Shafer theory, Shenoy's operator

: http://library.utia.cas.cz/separaty/2018/MTR/jirousek-0490891.pdf

(eng): 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.

: BA

: 10101

07.01.2019 - 08:39