Geodesic
Entropy on effect algebras with the Riesz decomposition property I: Basic properties
Kybernetika, Tome 41 (2005) no. 2, p. [143].

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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.
Classification : 03B50, 03G12, 06D35, 28A20, 37B40
Keywords: effect algebra; Riesz decomposition property; MV-algebra; state; entropy 
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     author = {Di Nola, Antonio and Dvure\v{c}enskij, Anatolij and Hy\v{c}ko, Marek and Manara, Corrado},
     title = {Entropy on effect algebras with the {Riesz} decomposition property {I:} {Basic} properties},
     journal = {Kybernetika},
     pages = {[143]},
     publisher = {mathdoc},
     volume = {41},
     number = {2},
     year = {2005},
     mrnumber = {2138765},
     zbl = {1249.03115},
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Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado. Entropy on effect algebras with the Riesz decomposition property I: Basic properties. Kybernetika, Tome 41 (2005) no. 2, p. [143]. http://geodesic.mathdoc.fr/item/KYB_2005__41_2_a3/