| Title:
|
Entropy on effect algebras with the Riesz decomposition property I: Basic properties (English) |
| Author:
|
Di Nola, Antonio |
| Author:
|
Dvurečenskij, Anatolij |
| Author:
|
Hyčko, Marek |
| Author:
|
Manara, Corrado |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
[143]-160 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
effect algebra |
| Keyword:
|
Riesz decomposition property |
| Keyword:
|
MV-algebra |
| Keyword:
|
state |
| Keyword:
|
entropy |
| MSC:
|
03B50 |
| MSC:
|
03G12 |
| MSC:
|
06D35 |
| MSC:
|
28A20 |
| MSC:
|
37B40 |
| idZBL:
|
Zbl 1249.03115 |
| idMR:
|
MR2138765 |
| . |
| Date available:
|
2009-09-24T20:07:49Z |
| Last updated:
|
2015-03-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135647 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/135648 |
| . |
| Reference:
|
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