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Tsallis Entropy in MV-Algebras

Author

Listed:
  • Giuseppina Gerarda Barbieri

    (Department of Mathematics, University of Salerno, 84084 Fisciano, Italy)

  • Giacomo Lenzi

    (Department of Mathematics, University of Salerno, 84084 Fisciano, Italy)

Abstract

We deal with Tsallis entropy in MV-algebraic dynamical systems. We prove that Tsallis entropy is a submeasure and that it is invariant under isomorphisms. We also provide two examples which show that Tsallis entropy allows one to distinguish some non-isomorphic MV-dynamical systems.

Suggested Citation

  • Giuseppina Gerarda Barbieri & Giacomo Lenzi, 2024. "Tsallis Entropy in MV-Algebras," Mathematics, MDPI, vol. 12(22), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3594-:d:1522627
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    References listed on IDEAS

    as
    1. Wilk, G. & Włodarczyk, Z., 2008. "Example of a possible interpretation of Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4809-4813.
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    Keywords

    Tsallis entropy; MV-algebras;

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