MV-pairs and state operators

S. Pulmannová, E. Vinceková
2015 Fuzzy sets and systems (Print)  
States on MV-algebras as a generalization of probability measures on Boolean algebras - Mundici, 1995 . Flaminio, Montagna, 2009 state operator on MV-algebras -unary operation with basic properties of statesstate MV-algebras. Effect algebras Foulis, Bennett, 1994-modelling unsharp measurements in QM. Subclasses of EAs: orthomodular posets and lattices, orthoalgebras, MV-algebras. Jenča, 2007 -relations between MV-algebras and Boolean algebras via MV-pairs. We study relations between state operators and MV-pairs. MV-pairs and state operators
doi:10.1016/j.fss.2014.04.002 fatcat:r7sq6qfyknd6lpk7z7jqygs7si