0399109 20240103203309.420131129235959.9 84958535767 000332666300008 10.1007/978-3-319-03155-2_7 200 28 s. P cav_un_epca*0399108978-3-319-03154-5173-200ChamSpringer2013TorraVicencNarukawaYasuoSugenoMichio belief function MV-algebra fuzzy logic cav_un_auth*0274793 Flaminio T. ES cav_un_auth*0015019 Godo L. ES cav_un_auth*0101141 Kroupa Tomáš UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2013/MTR/kroupa-0399109.pdf cav_un_auth*0292670 GA13-20012S GA ČR Belief functions are the measure theoretical objects Dempster-Shafer evidence theory is based on. They are in fact totally monotone capacities, and can be regarded as a special class of measures of uncertainty used to model an agent’s degrees of belief in the occurrence of a set of events by taking into account different bodies of evidence that support those beliefs. In this chapter we present two main approaches to extending belief func- tions on Boolean algebras of events to MV-algebras of events, modelled as fuzzy sets, and we discuss several properties of these generalized mea- sures. In particular we deal with the normalization and soft-normalization problems, and on a generalization of Dempster’s rule of combination. BA 10000 10100 10101 2014 3 RVO:67985556 http://hdl.handle.net/11104/0226809 RIV/67985556:_____/13:00399109!RIV14-AV0-67985556 56641884 Doplnění UT WOS a Scopus RIV/67985556:_____/13:00399109!RIV14-GA0-67985556 56688689 Doplnění UT WOS a Scopus 2013 84958535767 SCOPUS 000332666300008 WOS cav_un_epca*0399108 Non-Additive Measures: Theory and Applications 978-3-319-03154-5 173 200 Cham Springer 2013 Studies in Fuzziness and Soft Computing Torra Vicenc 340 Narukawa Yasuo 340 Sugeno Michio 340