ENTROPY ON EFFECT ALGEBRAS WITH THE RIESZ DECOMPOSITION PROPERTY I: BASIC PROPERTIES
Antonio Di Nola, Anatolij Dvurečenskij, Marek Hyčko, Corrado Manara · Czech digital mathematics library · 2005
summary:We define the entropy, lower and upper entropy, and the conditional entropy of a dynamical system consisting of an effect algebra with the Riesz decomposition property, a state, and a transformation. Such effect algebras allow many refinements of two partitions. We present the basic properties of these entropies and these notions are illustrated by many examples. Entropy on MV-algebras is postponed to Part II.