From Probabilities to Belief Functions on MV-Algebras

0347967 20240103193934.220101102235959.9 000289216000048 10.1007/978-3-642-14746-3_48 From Probabilities to Belief Functions on MV-Algebras 8 s. cav_un_epca*0350719978-3-642-14745-61867-5662Combining Soft Computing and Statistical Methods in Data Analysis387-395Berlin, HeidelbergSpringer-Verlag2010BorgeltCh. Gonzales-RodriguezG. TrutschnigW. LubianoM.A. GilM.A. GrzegorzewskiP. HryniewiczO. belief function state MV-algebra 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/2010/MTR/kroupa-from probabilities to belief functions on mv-algebras.pdf 1M0572 GA MŠk cav_un_auth*0001814 GA201/09/1891 GA ČR cav_un_auth*0253175 CEZ:AV0Z10750506 In this contribution we generalize belief functions to many-valued events represented by elements of the ﬁnite product of standard MV-algebras. Our definition is based on the mass assignment approach from Dempster- Shafer theory of evidence. The generalized belief function is totally monotone and it has Choquet integral representation w.r.t. a classical belief function. cav_un_auth*0264625 Soft Methods in Probability and Statistics Oviedo 28.09.2010-01.10.2010 ES 2011 BA http://hdl.handle.net/11104/0188605 2010 000289216000048 WOS cav_un_epca*0350719 Combining Soft Computing and Statistical Methods in Data Analysis 978-3-642-14745-6 1867-5662 387 395 Berlin, Heidelberg Springer-Verlag 2010 Borgelt Ch. 340 Gonzales-Rodriguez G. 340 Trutschnig W. 340 Lubiano M.A. 340 Gil M.A. 340 Grzegorzewski P. 340 Hryniewicz O. 340