Bibliografie
Journal Article
Extension of belief functions to infinite-valued events
: Soft Computing vol.16, 11 (2012), p. 1851-1861
: 1M0572, GA MŠk, GA201/09/1891, GA ČR
: belief function, MV-algebra, Moebius transform
(eng): 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.
: BA