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Journal of Logic and Computation Advance Access published online on March 18, 2009
Journal of Logic and Computation, doi:10.1093/logcom/exp019
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© The Author, 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

Measures and Topologies on MV-algebras1

Hans Weber

Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze 206, 33100 Udine, Italy.
E-mail: weber{at}dimi.uniud.it

Received 3 October 2008.


  Abstract

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{infty}-valuations on clans of fuzzy sets.

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

1This article was presented at the conference ‘ManyVal’08’ held at Milano (Italy) during 19–21 May 2008.


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