Possibilistic Graphical Models and Compositional Models

0346776 - ÚTIA 2011 RIV DE eng C - Conference Paper (international conference)
Vejnarová, Jiřina
Possibilistic Graphical Models and Compositional Models.
Proceedigs of 13h International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems IPMU'10. Vol. I. Berlin Heidelberg: Springer, 2010 - (Hullermaier, E.; Kruse, R.; Hoffman, F.), s. 21-30. Lecture Notes in Computer Science, 80. ISBN 978-3-642-14054-9. ISSN 1865-0929.
[13h International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems IPMU'10. Dortmund (DE), 28.06.2010-02.07.2010]
R&D Projects: GA ČR GA201/09/1891; GA AV ČR IAA100750603
Grant - others:GA MŠk(CZ) 2C06019
Institutional research plan: CEZ:AV0Z10750506
Keywords : possibility distributions * graphical models * triangular norms
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2010/MTR/vejnarova-possibilistic graphical models and compositional models.pdf

We overview three kinds of Possibilistic graphical models (based on directed acyclic graphs) and present, how they can be expressed by means of non-graphical approach to multidimensional possibilistic models, so-called compositional models. We show that any of these graphical models can be transformed into a compositional model, but not vice versa. The only exception are directed possibilistic graphs, which are as general as so-called prefect sequences of low-dimensional distributions.
Permanent Link: http://hdl.handle.net/11104/0187707