0411274 20240103182314.520060210235959.9 13 s. cav_un_epca*02566420165-01141492 (2005)369-381Elsevier conditional probability tribe MV-algebra cav_un_auth*0101141 Kroupa Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 120 IAA2075302 GA AV ČR cav_un_auth*0001801 CEZ:AV0Z10750506 An appropriate definition of a conditional probability on an MV-algebra was an open problem formulated by Riecan and Mundici. We propose a concept of conditional probability on an MV-algebra with product. Its basic properties are proven and it is demonstrated that the conditional probability in classical probability theory is a special case of this definition. Moreover, the paper contains also a discussion of the interpretation of fuzzy sets and conditioning in fuzzy probability theory. Vhodne pojeti podminene pravdepodobnosti byl otevreny problem publikovany B. Riecanem a D. Mundicim. V clanku je navrzena definice podminovani na MV-algebra s produktem. Jsou podany jeji zakladni vlastnosti a je ukazano, ze se jedna o zobecneni definice zname z klasicke teorie pravdepodobnosti. Dale je diskutovana interpretace fuzzy mnozin v souvislosti s podminovanim. BA 2006 MTR http://hdl.handle.net/11104/0131357 UTIA-B 20050001 2005 cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 149 č. 2 2005 369 381 Elsevier