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Extension of belief functions to infinite-valued events
- 1.0381759 - ÚTIA 2013 RIV DE eng J - Journal Article
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
R&D Projects: GA MŠMT 1M0572; GA ČR GA201/09/1891
Institutional support: RVO:67985556
Keywords : belief function * MV-algebra * Moebius transform
Subject RIV: BA - General Mathematics
Impact factor: 1.124, year: 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.
Permanent Link: http://hdl.handle.net/11104/0212155
Number of the records: 1