Department of Pattern Recognition

(eng): 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.

(cze): 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.