Entropy of Countable Partitions on Effect Algebra with Rieze Decomposition Property and Weak Sequential Effect Algebra
Zahra Eslami Giski, Mohamad Ebrahimi · DergiPark (Istanbul University) · 2015
The purpose of this study is twofold. For the first part, the entropy of countable partitions on aneffect algebra with the Riesz decomposition property is defined. In addition, the lower and upper entropyand the conditional entropy considering a suitable state and transformation functions are introduced. Then,some basic properties of these notions are investigated. In the second part, weak sequential effect algebrais introduced followed by a definition for the entropy of countable partitions on this structure. Furthermore,with the help of appropriate state and transformation functions, the notion of entropy, conditional entropy andrelative entropy are introduced. In the final step, some properties of these concepts are studied.