Bibliography

(eng): 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.

(cze): 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.