Extension of belief functions to infinite-valued events

0381759 - ÚTIA 2013 RIV DE eng J - Článek v odborném periodiku
Kroupa, Tomáš
Extension of belief functions to infinite-valued events.
Soft Computing. Roč. 16, č. 11 (2012), s. 1851-1861. ISSN 1432-7643. E-ISSN 1433-7479
Grant CEP: GA MŠMT 1M0572; GA ČR GA201/09/1891
Institucionální podpora: RVO:67985556
Klíčová slova: belief function * MV-algebra * Moebius transform
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.124, rok: 2012
http://library.utia.cas.cz/separaty/2012/MTR/kroupa-extension of belief functions to infinite-valued events.pdf

We generalise belief functions to many-valued events which are represented by elements of Lindenbaum algebra of infinite-valued Łukasiewicz propositional logic. Our approach is based on mass assignments used in the Dempster–Shafer theory of evidence. A generalised belief function is totally monotone and it has Choquet integral representation with respect to a unique belief measure on Boolean events.
Trvalý link: http://hdl.handle.net/11104/0212155