Kullback-Leibler Divergence and Mutual Information of Experiments in the Fuzzy Case
- Dagmar Markechová
We define the entropy, lower and upper entropy, and the conditional entropy of a dy namical 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.