Name
Abstract | ||
|---|---|---|
The stability of discrete universal integrals based on copulas is discussed and examined, both with respect to the norms L-1 (Lipschitz stability) and L-infinity (Chebyshev stability). Each of these integrals is shown to be 1-Lipschitz. Exactly the discrete universal integrals based on a copula which is stochastically increasing in its first coordinate turn out to be 1-Chebyshev. A new characterization of stochastically increasing Archimedean copulas is also given. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1142/S0218488510006374 | INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS |
Keywords | Field | DocType |
Universal integral, Choquet integral, Sugeno integral, copula, Lipschitz property, Chebyshev norm | Discrete mathematics,Sugeno integral,Copula (linguistics),Lipschitz domain,Lipschitz continuity,Chebyshev filter,Choquet integral,Mathematics | Journal |
Volume | Issue | ISSN |
18 | 1 | 0218-4885 |
Citations | PageRank | References |
6 | 0.87 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Erich Peter Klement | 1 | 989 | 128.89 |
| Anna Kolesárová | 2 | 517 | 57.82 |
| Radko Mesiar | 3 | 3778 | 472.41 |
| Andrea StupňAnová | 4 | 115 | 17.40 |