Name
Abstract | ||
|---|---|---|
Various types of integrals with respect to signed fuzzy measures on finite sets with cardinality n can be presented as corresponding rules for partitioning the integrand. The partition can be expressed as an n-dimensional vector, whereas the signed fuzzy measure is also an n-dimensional vector. Thus, the integration value is the inner product of these two vectors. Two pairs of extremes, the Lebesgue-like integral versus the Choquet integral and the upper integral versus the lower integral, are discussed in detail. (c) 2006 Wiley Periodicals, Inc. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1002/int.20179 | INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS |
Field | DocType | Volume |
Riemann integral,Discrete mathematics,Cardinal number,Fuzzy measure theory,Lebesgue–Stieltjes integration,Cardinality,Fuzzy set,Choquet integral,Mathematics,Lebesgue integration | Journal | 21 |
Issue | ISSN | Citations |
10 | 0884-8173 | 7 |
PageRank | References | Authors |
0.80 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhenyuan Wang | 1 | 684 | 90.22 |
| Kwong-Sak Leung | 2 | 1887 | 205.58 |
| George J. Klir | 3 | 815 | 138.18 |