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We consider the concept of generalized measure-theoretic entropy, whereinstead of the Shannon entropy function we consider an arbitrary concavefunction defined on the unit interval, vanishing in the origin. Under mildassumptions on this function we show that this isomorphism invariant islinearly dependent on the Kolmogorov-Sinai entropy.

On the connections of the generalized entropies and Kolmogorov-Sinai entropies