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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/exp011
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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

On States on MV-algebras and their Applications

Anatolij Dvurecenskij

Mathematical Institute, Slovak Academy of Sciences, Stefánikova 49, SK-814 73 Bratislava, Slovakia.
E-mail: dvurecen{at}mat.savba.sk

Received 4 September 2008.


  Abstract

We present the notion of a state, as averaging or a probabilistic assessment in many-valued reasoning. We show what a state can be in different algebraic structures, and also present a new trends using de Finetti's coherence principle or state MV-algebras where the state is an internal notion.

Keywords: MV-algebra; unital {ell}-group; representation; state; state-morphism; coherence; state MV-algebra; state-orphism MV-algebra


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