0395348 20240103202847.520130911235959.9 9 s. P cav_un_epca*0394014978-2-913923-35-5149-158CompiegneSociety for Imprecise Probability: Theories and Applications2013 marginal problem belief function algorithm multidimensional model convergence cav_un_auth*0216188 Kratochvíl Václav 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*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. http://library.utia.cas.cz/separaty/2013/MTR/kratochvil-on open problems connected with application of the iterative proportional fitting procedure to belief functions.pdf GA13-20012S GA ČR cav_un_auth*0292670 GAP403/12/2175 GA ČR CZ cav_un_auth*0284585 In probability theory, Iterative Proportional Fitting Procedure can be used for construction of a joint probability measure from a system of its marginals. The present paper studies a possibility of application of an analogous procedure for belief functions, which was made possible by the fact that there exist operators of composition for belief functions. In fact, two different procedures based on two different composition operators are introduced. The procedure based on the composition derived from the Dempster's rule of combination is of very high computationally complexity and, from the theoretical point of view, practically nothing is known about its behavior. The other one, which uses the composition derived from the notion of factorization, is much more computationally efficient, and its convergence is guaranteed by a theorem proved in this paper. cav_un_auth*0292247 Eighth International Symposium on Imprecise Probability: Theories adn Applications Compiegne 02.07.2013-05.07.2013 FR 2014 BA PR RVO:67985556 http://hdl.handle.net/11104/0223481 2013 cav_un_epca*0394014 Proceedings of the Eighth International Symposium on Imprecise Probability: Theories adn Applications 978-2-913923-35-5 149 158 Compiegne Society for Imprecise Probability: Theories and Applications 2013