Conditioning in evidence theory from the perspective of multidimensional models

0382398 - ÚTIA 2013 RIV DE eng C - Konferenční příspěvek (zahraniční konf.)
Vejnarová, Jiřina
Conditioning in evidence theory from the perspective of multidimensional models.
Advances in Computational Intelligence. Heidelberg: Springer, 2012 - (Greco, S.; Bouchon-Meunier, B.; Coletti, G.; Fedrizzi, M.; Matarazzo, B.; Yager, R.), s. 450-459. Communications in Computer and Information Science, 299. ISBN 978-3-642-31717-0. ISSN 1865-0929.
[14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012. Catania (IT), 09.07.2012-13.07.2012]
Grant CEP: GA ČR GAP402/11/0378
Institucionální podpora: RVO:67985556
Klíčová slova: evidence theory * conditioning * multidimensional models * conditional independence * conditional irrelevance
Kód oboru RIV: BA - Obecná matematika
http://library.utia.cas.cz/separaty/2012/MTR/vejnarova-conditioning in evidence theory from the perspective of multidimensional models.pdf

Conditioning belongs to the most important topics of any theory dealing with uncertainty. From the viewpoint of construction of Bayesian-network-like multidimensional models it seems to be inevitable. In evidence theory, in contrary to the probabilistic framework, various rules were proposed to define conditional beliefs and/or plausibilities (or basic assignments) from joint ones. Two of them — Dempster’s conditioning rule and focusing (more precisely their versions for variables) — have recently been studied in connection with the relationship between conditional independence and irrelevance and it has been shown, that for none of them conditional irrelevance is implied by conditional independence, which seems to be extremely inconvenient. Therefore we suggest a new conditioning rule for variables, which seems to be more promising from the viewpoint of conditional irrelevance, prove its correctness and also study the relationship between conditional independence and irrelevance based on this conditioning rule.
Trvalý link: http://hdl.handle.net/11104/0212627