| Title:
|
On the dominance relation between ordinal sums of conjunctors (English) |
| Author:
|
Saminger, Susanne |
| Author:
|
De Baets, Bernard |
| Author:
|
De Meyer, Hans |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
337-350 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This contribution deals with the dominance relation on the class of conjunctors, containing as particular cases the subclasses of quasi-copulas, copulas and t-norms. The main results pertain to the summand-wise nature of the dominance relation, when applied to ordinal sum conjunctors, and to the relationship between the idempotent elements of two conjunctors involved in a dominance relationship. The results are illustrated on some well-known parametric families of t-norms and copulas. (English) |
| Keyword:
|
conjunctor |
| Keyword:
|
copula |
| Keyword:
|
dominance |
| Keyword:
|
ordinal sum |
| Keyword:
|
quasi-copula |
| Keyword:
|
t-norm |
| MSC:
|
26B99 |
| MSC:
|
39B62 |
| MSC:
|
60E05 |
| idZBL:
|
Zbl 1249.26025 |
| idMR:
|
MR2253393 |
| . |
| Date available:
|
2009-09-24T20:16:26Z |
| Last updated:
|
2015-03-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135718 |
| . |
| Reference:
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