Measures and Topologies on MV-algebras
We present a topological approach to the study of measures on MV-algebras. These measures generalize, in the terminology of Butnariu and Klement (D. Butnariu and E. P. Klement. Triangular Norm based Measures and Games with Fuzzy Coalitions. Kluver, Dordrecht, 1993), T(infinity)-valuations on clans of fuzzy sets.
measures topological mv-algebras lebesgue decomposition hammer-sobczyk decomposition vitali-hahn-saks theorem nikodym boundedness theorem lyapunov theorem