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On Marginal Problem in Evidence Theory

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    0439579 - ÚTIA 2015 RIV CH eng C - Conference Paper (international conference)
    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]
    R&D Projects: GA ČR GA13-20012S
    Institutional support: RVO:67985556
    Keywords : evidence theory * marginal problem * extension * product extension
    Subject RIV: BA - General Mathematics
    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.
    Permanent Link: http://hdl.handle.net/11104/0243119

     
     
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