On interpretation of T-product extensions of possibility distributions

0427068 - ÚTIA 2015 RIV NL eng J - Článek v odborném periodiku
Vejnarová, Jiřina
On interpretation of T-product extensions of possibility distributions.
Fuzzy Sets and Systems. Roč. 232, č. 1 (2013), s. 3-17. ISSN 0165-0114. E-ISSN 1872-6801
Grant CEP: GA ČR GAP402/11/0378
Institucionální podpora: RVO:67985556
Klíčová slova: Possibility theory * Extension * Triangular norm * Conditional independence * Sets of probability distributions
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.880, rok: 2013
http://library.utia.cas.cz/separaty/2014/MTR/vejnarova-0427068.pdf

T-product extensions(where T is a continuoust-norm) of a system of low-dimensional possibility distributions form an important class of solutions of the so-called possibilistic marginal problem. Nevertheless, they can differ from each other, e.g., from the viewpoint of inference. Therefore the need for their interpretation is obvious.To find it, we identify any possibility distribution with a set of probability distributions dominated by it and find a probability interpretation of models based on Gödel’s, product and Lukasiewicz’s t-norms.
Trvalý link: http://hdl.handle.net/11104/0233077