| Title:
|
Möbius fitting aggregation operators (English) |
| Author:
|
Kolesárová, Anna |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
[259]-273 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Standard Möbius transform evaluation formula for the Choquet integral is associated with the $\mathbf{min}$-aggregation. However, several other aggregation operators replacing $\mathbf{min}$ operator can be applied, which leads to a new construction method for aggregation operators. All binary operators applicable in this approach are characterized by the 1-Lipschitz property. Among ternary aggregation operators all 3-copulas are shown to be fitting and moreover, all fitting weighted means are characterized. This new method allows to construct aggregation operators from simpler ones. (English) |
| Keyword:
|
aggregation operator |
| Keyword:
|
Choquet integral |
| MSC:
|
03E72 |
| MSC:
|
28A25 |
| MSC:
|
28E10 |
| idZBL:
|
Zbl 1265.28042 |
| idMR:
|
MR1944308 |
| . |
| Date available:
|
2009-09-24T19:45:44Z |
| Last updated:
|
2015-03-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135462 |
| . |
| Reference:
|
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| . |
