0456237 20240103211852.420160229235959.9 54 s. P 355 cav_un_epca*0457319978-1-84890-193-3Vol.31183-1236LondonCollege Publications2015CintulaPetrFermüllerC.NogueraCarles state MV-algebra Lukasiewicz logic cav_un_auth*0328767 Flaminio T. IT 50 cav_un_auth*0101141 Kroupa Tomáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory 50 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2015/MTR/kroupa-0456237.pdf GAP402/12/1309 GA ČR cav_un_auth*0284931 This handbook chapter focuses on presenting the theory of MV-algebras endowed with functions, called states, that allow one to model finitely additive probability measures. We prove the main integral representation theorem and show applications of states for modelling bookmaking over non-classical events and conditioning. 2016 BA RVO:67985556 http://hdl.handle.net/11104/0257709 S 2015 cav_un_epca*0457319 Handbook of Mathematical Fuzzy Logic Vol.3 978-1-84890-193-3 1183 1236 London College Publications 2015 Studies in Logic - Mathematical Logic and Foundations 58 Cintula Petr 340 Fermüller C. 340 Noguera Carles 340