0346720 20240103193808.320110104235959.9 6 s. 1-6BrestENSIETA2010 conditional non-interactivity conditional independence conditional independence 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/2010/MTR/vejnarova-a thorough comparison of two conditional independence concepts for belief functions.pdf 2C06019 GA MŠk CZ cav_un_auth*0216518 IAA100750603 GA AV ČR cav_un_auth*0216427 GA201/09/1891 GA ČR cav_un_auth*0253175 CEZ:AV0Z10750506 Stochastic conditional independence plays an important role in the application of probability theory into the field of artificial intelligence. From the comparison of complexity of models based on probability distributions and those based on belief functions it is obvious, that it is even more important in the latter framework. In this contribution we compare two conditional independence concepts (conditional non-interactivity and conditional independence) from various points of view. We will concentrate not only to their formal properties, but also to their unconditional versions, their relationship to stochastic conditional independence, number of focal elements of basic assignments satisfying the respective conditional independence constraints, the complexity of their checking, their consistency with marginalization and, naturally, also their mutual relationship. cav_un_auth*0261397 Workshop on the Theory of Belief Functions Brest 01.04.2010-02.04.2010 FR 2011 BA http://hdl.handle.net/11104/0187665 2010 Proceedings of Workshop on the Theory of Belief Functions 1 6 Brest ENSIETA 2010