| Title:
|
1-Lipschitz aggregation operators and quasi-copulas (English) |
| Author:
|
Kolesárová, Anna |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
39 |
| Issue:
|
5 |
| Year:
|
2003 |
| Pages:
|
[615]-629 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper, binary 1-Lipschitz aggregation operators and specially quasi-copulas are studied. The characterization of 1-Lipschitz aggregation operators as solutions to a functional equation similar to the Frank functional equation is recalled, and moreover, the importance of quasi-copulas and dual quasi-copulas for describing the structure of 1-Lipschitz aggregation operators with neutral element or annihilator is shown. Also a characterization of quasi-copulas as solutions to a certain functional equation is proved. Finally, the composition of 1-Lipschitz aggregation operators, and specially quasi-copulas, is studied. (English) |
| Keyword:
|
aggregation operator |
| Keyword:
|
1-Lipschitz aggregation operator |
| Keyword:
|
copula |
| Keyword:
|
quasi-copula |
| Keyword:
|
kernel aggregation operator |
| MSC:
|
26B35 |
| MSC:
|
26B99 |
| MSC:
|
60E05 |
| idZBL:
|
Zbl 1249.60018 |
| idMR:
|
MR2042344 |
| . |
| Date available:
|
2009-09-24T19:57:16Z |
| Last updated:
|
2015-03-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135559 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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[13] Kolesárová A., Mordelová, J., Muel E.: Kernel aggregation operators and their marginals.Fuzzy Sets and Systems, accepted Zbl 1043.03040, MR 2045341 |
| Reference:
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| . |
