Name
Abstract | ||
|---|---|---|
Following the ideas of the axiomatic characterization of the Choquet integral due to [D. Schmeidler, Integral representation without additivity, Proc. Amer. Math. Soc. 97 (1986) 255-261] and of the Sugeno integral given in [J.-L. Marichal, An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework, IEEE Trans. Fuzzy Syst. 9 (2001) 164-172], we provide a general axiomatization of some classes of discrete universal integrals, including the case of discrete copula-based universal integrals (as usual, the product copula corresponds just to the Choquet integral, and the minimum to the Sugeno integral). |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.knosys.2011.10.015 | Knowl.-Based Syst. |
Keywords | Field | DocType |
aggregate interacting criterion,product copula,axiomatic characterization,general axiomatization,discrete copula-based universal integral,integral representation,fuzzy syst,ieee trans,discrete universal integral,axiomatic approach,choquet integral,copula | Riemann integral,Data mining,Mathematical optimization,Axiomatic system,Axiom,Copula (linguistics),Computer science,Sugeno integral,Fuzzy measure theory,Pure mathematics,Daniell integral,Choquet integral | Journal |
Volume | ISSN | Citations |
28, | 0950-7051 | 8 |
PageRank | References | Authors |
0.67 | 14 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Erich Peter Klement | 1 | 989 | 128.89 |
| Radko Mesiar | 2 | 3778 | 472.41 |