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

0411514 - UTIA-B 20050244 RIV CZ eng J - Journal Article
Kroupa, Tomáš
Many-dimensional observables on Lukasiewicz tribe: Constructions, conditioning and conditional independence.
[Vicerozmerne pozorovatelne na Lukasiewiczove kmenu: Konstrukce, podminovani a podminena nezavislost.]
Kybernetika. Roč. 41, č. 4 (2005), s. 451-468. ISSN 0023-5954
R&D Projects: GA ČR GA201/02/1540
Institutional research plan: CEZ:AV0Z10750506
Keywords : state * observable * tribe * conditional independence
Subject RIV: BA - General Mathematics
Impact factor: 0.343, year: 2005

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.
Permanent Link: http://hdl.handle.net/11104/0131594