Name
Abstract | ||
|---|---|---|
To deal with linguistic attributes in databases, the integrand of the Choquet integral should be allowed to assume fuzzy numbers. This paper provides a detailed discussion on one fuzzification of Choquet integral, in which the integrand as well as the integration result is fuzzy numbers, based on the extension principle. It is a generalized Choquet integral for fuzzy-valued integrand, interval-valued integrand, as well as the crisp-valued integrand. Two numerical methods are provided to calculate the membership function of the integration value of this generalized Choquet integral with respect to the fuzzy measure and the signed fuzzy measure, respectively. The presented generalized Choquet integral with respect to signed fuzzy measure can act as an aggregation tool which is especially useful in many information fusing and data mining problems (such as regression and classification) where not only crisp data but also heterogeneous fuzzy data are involved. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.fss.2004.12.009 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
crisp data,heterogeneous fuzzy data,fuzzy number,fuzzy measure,integration value,interval-valued integrand,fuzzy-valued integrand,crisp-valued integrand,data mining problem,integration result,numerical method,membership function,data mining,choquet integral,fuzzy numbers,genetic algorithms,genetic algorithm | Discrete mathematics,Applied mathematics,Fuzzy classification,Fuzzy logic,Fuzzy measure theory,Fuzzy set,Choquet theory,Choquet integral,Fuzzy number,Membership function,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
153 | 1 | Fuzzy Sets and Systems |
Citations | PageRank | References |
29 | 1.71 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rong Yang | 1 | 55 | 3.68 |
| Zhenyuan Wang | 2 | 684 | 90.22 |
| Pheng-Ann Heng | 3 | 3565 | 280.98 |
| Kwong-Sak Leung | 4 | 1887 | 205.58 |