| Title:
|
Remarks on effect-tribes (English) |
| Author:
|
Pulmannová, Sylvia |
| Author:
|
Vinceková, Elena |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
51 |
| Issue:
|
5 |
| Year:
|
2015 |
| Pages:
|
739-746 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that an effect tribe of fuzzy sets ${\mathcal T}\subseteq [0,1]^X$ with the property that every $f\in {\mathcal T}$ is ${\mathcal B}_0({\mathcal T})$-measurable, where ${\mathcal B}_0({\mathcal T})$ is the family of subsets of $X$ whose characteristic functions are central elements in ${\mathcal T}$, is a tribe. Moreover, a monotone $\sigma$-complete effect algebra with RDP with a Loomis-Sikorski representation $(X, {\mathcal T},h)$, where the tribe ${\mathcal T}$ has the property that every $f\in {\mathcal T}$ is ${\mathcal B}_0({\mathcal T})$-measurable, is a $\sigma$-MV-algebra. (English) |
| Keyword:
|
effect-tribe |
| Keyword:
|
tribe |
| Keyword:
|
monotone $\sigma $-complete effect algebra |
| Keyword:
|
Riesz decomposition property |
| Keyword:
|
MV-algebra |
| MSC:
|
81P10 |
| MSC:
|
81P15 |
| idZBL:
|
Zbl 06537777 |
| idMR:
|
MR3445981 |
| DOI:
|
10.14736/kyb-2015-5-0739 |
| . |
| Date available:
|
2015-12-16T18:54:18Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144740 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
