0086620 20240103184513.820071010235959.9 14 s. cav_un_epca*0086619INFORMATIK BERICHTE28-41HagenFernUniversitat in Hagen2007BeierleCh.Kern-IsbernerG. Belief function Conditional independence Multidimensional model Operator of composition Semigraphoid axioms cav_un_auth*0101118 Jiroušek Radim UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 1M0572 GA MŠk CZ cav_un_auth*0001814 2C06019 GA MŠk CZ cav_un_auth*0216518 IAA2075505 GA AV ČR CZ cav_un_auth*0226943 CEZ:AV0Z10750506 The paper presents one additional possibility how to define conditional independence relation for belief functions. The approach is based on the operator of composition originally designed for multidimensional model processing. Not to make confusion with the preceding definitions we call this relation /emph{conditional irrelevance}. The main result of the paper, Block Irrelevance theorem, shows that this relation meets the semigraphoid axioms. Článek pojednává o relaci podmíněné irelevance pro domněnkové funkce. cav_un_auth*0230838 Workshop on Dynamics of Knowledge and Belief at the 30th Annual German Conference on Artificial Intelligence Osnabrueck 10.09.2007-14.09.2007 DE 2008 IN http://hdl.handle.net/11104/0148832 2007 cav_un_epca*0086619 Proceedings of the Workshop on Dynamics of Knowledge and Belief 28 41 Hagen FernUniversitat in Hagen 2007 339-8/2007 INFORMATIK BERICHTE Beierle Ch. 340 Kern-Isberner G. 340