Title :
Choquet integrals on fuzzy sets
Author :
Wu, Cong-Xin ; Huang, Yan
Author_Institution :
Dept. of Math., Harbin Inst. of Technol., China
Abstract :
In this paper a new kind of Choquet integrals on fuzzy sets is introduced, and some elementary properties of this kind of Choquet integrals are studied. Convergence theorems of a sequence of Choquet integrals on fuzzy sets are shown. A transformation theorem is given, which reveals the relation between the Choquet integrals on fuzzy sets and the Choquet integrals on classical crisp sets.
Keywords :
algebra; convergence; fuzzy set theory; Choquet integrals; convergence theorems; fuzzy sets; transformation theorem; Algebra; Area measurement; Convergence; Data mining; Fuzzy set theory; Fuzzy sets; Image processing; Machine learning; Mathematics; Pattern recognition; Choquet integral; Fuzzy algebra; crisp null-subtractive; fuzzy measure; monotone convergence;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527353
