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Bibliography

Journal Article

Extension of belief functions to infinite-valued events

Kroupa Tomáš

: Soft Computing vol.16, 11 (2012), p. 1851-1861

: 1M0572, GA MŠk, GA201/09/1891, GA ČR

: belief function, MV-algebra, Moebius transform

: 10.1007/s00500-012-0836-2

: http://library.utia.cas.cz/separaty/2012/MTR/kroupa-extension of belief functions to infinite-valued events.pdf

(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