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

Journal Article

Kroupa Tomáš

serial: Kybernetika vol.41, 4 (2005), p. 451-468

research: CEZ:AV0Z10750506

project(s): GA201/02/1540GA ČR

keywords: state, observable, tribe, conditional independence

abstract (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.

abstract (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.

Cosati: 120

RIV: BA