Abstract
There is given a construction of the entropy of a dynamical system on arbitrary MV-algebra M. If M is the MV-algebra of characteristic functions of a σ-algebra (isomorphic to the σ-algebra), then the construction leads to the Kolmogorov–Sinaj entropy. If M is the MV-algebra (tribe) of fuzzy sets, then the construction coincides with the Maličký modification of the Kolmogorov–Sinaj entropy for fuzzy sets (Maličký and Riečan, 1986; Riečan and Mundici, 2002; Riečan and Neubrunn, 1997).
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Riečan, B. Kolmogorov–Sinaj Entropy on MV-Algebras. Int J Theor Phys 44, 1041–1052 (2005). https://doi.org/10.1007/s10773-005-7080-9
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DOI: https://doi.org/10.1007/s10773-005-7080-9