TY  - JOUR
TT  - Entropy of Countable Partitions on Effect Algebra with Rieze Decomposition Property and Weak Sequential Effect Algebra
AU  - Giski, Zahra Eslami
AU  - Ebrahimi, Mohamad
PY  - 2015
DA  - May
JF  - Cankaya University Journal of Science and Engineering
JO  - CUJSE
PB  - Cankaya University
WT  - DergiPark
SN  - 2564-7954
VL  - 12
IS  - 1
KW  - Entropy
KW  - Effect algebra
KW  - Dynamical system
KW  - Sequential effect algebra
N2  - 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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UR  - https://dergipark.org.tr/en/pub/cankujse/article/368655
L1  - https://dergipark.org.tr/en/download/article-file/386769
ER  -