Many-dimensional observables on Lukasiewicz tribe: Constructions, conditioning and conditional independence

0411514 20240903170615.620060210235959.9 Many-dimensional observables on Lukasiewicz tribe: Constructions, conditioning and conditional independence 18 s. cav_un_epca*02971630023-5954Kybernetika414 (2005)451-468Ústav teorie informace a automatizace AV ČR, v. v. i. Vicerozmerne pozorovatelne na Lukasiewiczove kmenu: Konstrukce, podminovani a podminena nezavislost state observable tribe conditional independence cav_un_auth*0101141 Kroupa Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 120 GA201/02/1540 GA ČR cav_un_auth*0005743 CEZ:AV0Z10750506 Probability on collections of fuzzy sets can be developed as a generalization of the classical probability. A Lukasiewicz tribe is a collection of fuzzy sets which is closed under the standard fuzzy complementation and under the pointwise application of the Lukasiewicz t-norm to countably many fuzzy sets. Constructions of observables, independence and conditional independence is studied in the paper. Clanek se zabyva specifickymi konstrukcemi v ramci pravdepodobnosti na fuzzy mnozinach. Jedna se zejmena o pozorovatelne, ktere plni roli nahodnych velicin a jejich podminovani, ktere umoznuje zavest nezavislost a podminenou nezavislost. BA 2006 MTR 4 O 4o 20231122133528.7 http://hdl.handle.net/11104/0131594 UTIA-B 20050244 2005 Soubory v repozitáři: 0411514.pdf cav_un_epca*0297163 Kybernetika 0023-5954 Roč. 41 č. 4 2005 451 468 Ústav teorie informace a automatizace AV ČR, v. v. i.