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On the entropy of partitions in product MV-algebras. (English) Zbl 1008.37004

Summary: Generalizing the entropy of fuzzy partitions, the entropy of a partition in the recently introduced product MV-algebra has been studied. The least common refinement of two partitions is defined and the algebraic properties of the entropies and conditional entropies are examined.

MSC:

37A35 Entropy and other invariants, isomorphism, classification in ergodic theory
06D35 MV-algebras
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