On Conditional Belief Functions in the Dempster-Shafer Theory

0562471 - ÚTIA 2023 RIV CH eng C - Konferenční příspěvek (zahraniční konf.)
Jiroušek, Radim - Kratochvíl, Václav - Shennoy, P. P.
On Conditional Belief Functions in the Dempster-Shafer Theory.
Belief Functions: Theory and Applications. BELIEF 2022. Cham: Springer International Publishing, 2022 - (Le Hégarat-Mascle, S.; Bloch, I.; Aldea, E.), s. 207-218. Lecture Notes in Computer Science, 13506. ISBN 978-3-031-17800-9. ISSN 0302-9743. E-ISSN 1611-3349.
[International Conference on Belief Functions 2022 /7./. Paris (FR), 26.10.2022-28.10.2022]
Grant ostatní: GA ČR(CZ) GA19-06569S
Program: GA
Institucionální podpora: RVO:67985556
Klíčová slova: Dempster-Shafer belief function theory * Conditional belief functions * Smets’ conditional embedding
Obor OECD: Statistics and probability
http://library.utia.cas.cz/separaty/2022/MTR/jirousek-0562471.pdf

The primary goal is to define conditional belief functions in the Dempster-Shafer theory. We do so similar to the notion of conditional probability tables in probability theory. Conditional belief functions are necessary for constructing directed graphical belief function models in the same sense as conditional probability tables for constructing Bayesian networks. Besides defining conditional belief functions, we state and prove a few basic properties of conditionals. We provide several examples of conditional belief functions, including those obtained by Smets’ conditional embedding.
Trvalý link: https://hdl.handle.net/11104/0336396