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

Institution: Institute of Information Theory and Automation AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://library.utia.cas.cz/separaty/2018/MTR/jirousek-0490891.pdf
Original record: http://hdl.handle.net/11104/0285277

Permalink: http://www.nusl.cz/ntk/nusl-383515


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