0381759 20240103201336.620121030235959.9 000309879200005 10.1007/s00500-012-0836-2 11 s. cav_un_epca*02583681432-76431611 (2012)1851-1861Springer belief function MV-algebra Moebius transform cav_un_auth*0101141 Kroupa Tomáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/MTR/kroupa-extension of belief functions to infinite-valued events.pdf 1M0572 GA MŠk cav_un_auth*0001814 GA201/09/1891 GA ČR cav_un_auth*0253175 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. 2013 BA RVO:67985556 http://hdl.handle.net/11104/0212155 COMPUTERSCIENCEARTIFICIALINTELLIGENCE|COMPUTERSCIENCEINTERDISCIPLINARYAPPLICATIONS 1.364 0.193 4.6 0.00458 0.416 1380 161 0.747 Q1 18.633 41.576 Q4 Q2 2012 000309879200005 WOS cav_un_epca*0258368 Soft Computing 1432-7643 1433-7479 Roč. 16 č. 11 2012 1851 1861 Springer