0370515 20240103200158.320120109235959.9 000288470100003 79551681370 10.1016/j.ijar.2010.02.005 19 s. cav_un_epca*02567740888-613X523 (2011)316-334Elsevier Evidence theory Conditional independence multidimensional models cav_un_auth*0101118 Jiroušek Radim 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. 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/jirousek-0370515.pdf CEZ:AV0Z10750506 The goal of the paper is twofold. The first is to show that some of the ideas for representation of multidimensional distributions in probability and possibility theories can be transferred into evidence theory. Namely, we show that multidimensional basic assignments can be rather efficiently represented in a form of so-called compositional models. These models are based on the iterative application of the operator of composition, whose definition for basic assignments as well as its properties are presented. We also prove that the operator of composition in evidence theory is in a sense generalization of its probabilistic counterpart. The second goal of the paper is to introduce a new definition of conditional independence in evidence theory and to show in what sense it is superior to that formerly introduced by other authors. 2012 BA 2 4 A 4a 20231122134849.5 http://hdl.handle.net/11104/0204303 COMPUTERSCIENCEARTIFICIALINTELLIGENCE 2.155 0.293 4.7 0.00594 0.759 1638 92 1.703 Q1 70.492 76.126 Q2 Q1* 2011 Soubory v repozitáři: jirousek-0370515.pdf 79551681370 SCOPUS 000288470100003 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 52 č. 3 2011 316 334 Elsevier