cujse Cankaya University Journal of Science and Engineering 2564-7954 Cankaya University Engineering Mühendislik Entropy of Countable Partitions on Effect Algebra with Rieze Decomposition Property and Weak Sequential Effect Algebra Giski Zahra Eslami Ebrahimi Mohamad 05 01 2015 12 1 05 01 2015 Copyright © 2009, Cankaya University Journal of Science and Engineering 2009 Cankaya University Journal of Science and Engineering

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.

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