0329000 20240111140724.920090915235959.9 Representation of States on MV-algebras by Probabilities on R-generated Boolean Algebras 6 s. CD-ROM cav_un_epca*0328999978-989-95079-6-8Proceedings of IFSA/EUSFLAT 2009713-718LisabonIFSA/EUSFLAT2009 Reprezentace stavů na MV-algebrách pomocí pravděpodobností na R-generovaných Booleových algebrách MV-algebra R-generated Boolean algebra state cav_un_auth*0101141 Kroupa Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0019128 Gerla B. IT pdf http://library.utia.cas.cz/separaty/2009/MTR/kroupa-representation of states on mv-algebras by probabilities on r-generated boolean algebras.pdf 1M0572 GA MŠk cav_un_auth*0001814 CEZ:AV0Z10750506 Any MV-algebra M can be embedded as a lattice in the Boolean algebra B(M) that is R-generated by M. We relate the study of states on an MV-algebra M to the study of finitely additive probabilities on B(M). Každou MV-algebru lze (jako svaz) vnořit do R-generované Booleovy algebry. Studium stavů na M lze potom usnadnit pomocí jejich reprezentace jako pravděpodobností na R-generované algebře. cav_un_auth*0253907 IFSA/EUSFLAT 2009 Lisabon 20.07.2009-24.07.2009 PT 2010 BA http://hdl.handle.net/11104/0175159 2009 pdf cav_un_epca*0328999 Proceedings of IFSA/EUSFLAT 2009 978-989-95079-6-8 713 718 Lisabon IFSA/EUSFLAT 2009