Markov properties and factorization of possibility distributions

0410907 20240103182247.920060210235959.9 Markov properties and factorization of possibility distributions 21 s. cav_un_epca*02507951012-2443Annals of Mathematics and Artificial Intelligence35357-377 possibility distributions triangular norms conditional independence cav_un_auth*0101223 Vejnarová Jiřina UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A GA201/01/1482 GA ČR cav_un_auth*0005723 IAA1075104 GA AV ČR cav_un_auth*0001799 CEZ:AV0Z1075907 Markov properties and factorization are powerful tools allowing the expression of multidimesional probability distributions by means of low-dimensional ones. In this paper we introduce Markov properties and factorization (all these notions are parametrized by a continuous t-norm) of possibility distributions and find relationships between them. Our results are accompanied by a number of conterexamples, which show that the assumptions of particular theorems are substantial. BA MTR http://hdl.handle.net/11104/0130994 UTIA-B 20020121 2002 cav_un_epca*0250795 Annals of Mathematics and Artificial Intelligence 1012-2443 1573-7470 Roč. 35 1/4 2002 357 377