0382398 20240103201418.420121101235959.9 10.1007/978-3-642-31718-7_47 10 s. P cav_un_epca*0379321978-3-642-31717-01865-0929450-459HeidelbergSpringer2012GrecoS. evidence theory conditioning multidimensional models conditional independence conditional irrelevance cav_un_auth*0101223 Vejnarová Jiřina Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/MTR/vejnarova-conditioning in evidence theory from the perspective of multidimensional models.pdf GAP402/11/0378 GA ČR cav_un_auth*0273630 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. cav_un_auth*0284818 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012 Catania 09.07.2012-13.07.2012 IT 2013 BA PR RVO:67985556 http://hdl.handle.net/11104/0212627 9 0.133 14.35 0.13 Q4 Q4 2012 cav_un_epca*0379321 Advances in Computational Intelligence 978-3-642-31717-0 1865-0929 450 459 Heidelberg Springer 2012 Communications in Computer and Information Science 299 Greco S. 340 Bouchon-Meunier B. 340 Coletti G. 340 Fedrizzi M. 340 Matarazzo B. 340 Yager R. R. 340