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Kolmogorov - Sinaj entropy on MV-algebras

Beloslav Riecan
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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 Maličk\' y modification of the Kolmogorov - Sinaj entropy for fuzzy sets.

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Beloslav Riecan. 2003-09-19. Kolmogorov - Sinaj entropy on MV-algebras. https://arxiv.org/abs/math/0304123

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