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Conditional states and joint distributions on MV-algebras. (English) Zbl 1249.06030

Summary: In this paper we construct conditional states on semi-simple MV-algebras. We show that these conditional states are not given uniquely. Using them, we construct the joint probability distributions and discuss the properties of these distributions. We show that the independence is not symmetric.

MSC:

06D35 MV-algebras
28E10 Fuzzy measure theory
60B99 Probability theory on algebraic and topological structures
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References:

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