Measures and Topologies on MV-algebras

作者：Weber Hans^*

来源：Journal of Logic and Computation, 2011, 21(3): 527-539.

DOI：10.1093/logcom/exp019

• topological MV-algebras
• measures
• Lebesgue decomposition
• Hammer-Sobczyk decomposition
• Vitali-Hahn-Saks theorem
• Nikodym boundedness theorem
• Lyapunov theorem

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.

• 出版日期2011-6