On Marginal Problem in Evidence Theory

0439579 - ÚTIA 2015 RIV CH eng C - Konferenční příspěvek (zahraniční konf.)
Vejnarová, Jiřina
On Marginal Problem in Evidence Theory.
Belief Functions: Theory and Applications. Cham: Springer, 2014 - (Cuzzolin, F.), s. 331-338. Lecture Notes in Artificial Intelligence, 8764. ISBN 978-3-319-11190-2. ISSN 0302-9743.
[BELIEF 2014. International Conference /3./. Oxford (GB), 26.09.2014-28.09.2014]
Grant CEP: GA ČR GA13-20012S
Institucionální podpora: RVO:67985556
Klíčová slova: evidence theory * marginal problem * extension * product extension
Kód oboru RIV: BA - Obecná matematika
http://library.utia.cas.cz/separaty/2014/MTR/vejnarova-0439579.pdf

Marginal problem in the framework of evidence theory is introduced in a way analogous to probabilistic one, to address the question of whether or not a common extension exists for a given set of marginal basic assignments. Similarities between these two problem types are demonstrated, concerning necessary condition for the existence of an extension and sets of all solutions. Finally, product extension of the set of marginal basic assignments is introduced as a tool for the expression of a representative in a closed form.
Trvalý link: http://hdl.handle.net/11104/0243119