Name
Abstract | ||
|---|---|---|
The Choquet and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. However, their applicability is restricted because of the special operations used in the construction of these integrals. Therefore, we provide a concept of integrals generalizing both the Choquet and the Sugeno case. For functions with values in the nonnegative real numbers, universal integrals are introduced and investigated, which can be defined on arbitrary measurable spaces and for arbitrary monotone measures. For a fixed pseudo-multiplication on the nonnegative real numbers, the smallest and the greatest universal integrals are given. Finally, another construction method for obtaining universal integrals is introduced, and the restriction to the unit interval, i.e., to fuzzy integrals, is considered. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TFUZZ.2009.2039367 | Fuzzy Systems, IEEE Transactions |
Keywords | Field | DocType |
fuzzy set theory,integral equations,Choquet Integral,Sugeno Integral,arbitrary measurable spaces,arbitrary monotone measures,data aggregation,fuzzy integrals,integrals generalizing concept,nonnegative real numbers,pseudomultiplication,unit interval,universal integrals,Aggregation,Choquet integral,Sugeno integral,pseudomultiplication,universal integral | Discrete mathematics,Applied mathematics,Volume integral,Control theory,Sugeno integral,Order of integration (calculus),Darboux integral,Fuzzy measure theory,Unit interval,Choquet integral,Real number,Mathematics | Journal |
Volume | Issue | ISSN |
18 | 1 | 1063-6706 |
Citations | PageRank | References |
136 | 8.19 | 16 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Erich Peter Klement | 1 | 989 | 128.89 |
| Radko Mesiar | 2 | 3778 | 472.41 |
| Endre Pap | 3 | 136 | 8.19 |
| KlementErich Peter | 4 | 136 | 8.19 |