Title :
On lower and upper Choquet integrals
Author :
Guo, Cai-mei ; Zhang, De-li
Author_Institution :
Dept. of Phys. Sci., Changchun Univ., Changchun, China
Abstract :
The present paper based on the outer fuzzy measure and inner fuzzy measure defines the upper and lower Choquet integrals, such that the Choquet integral is extended to the case of non-measurable functions. Some properties are shown, and upper and lower Lebesgue integrals are obtained.
Keywords :
fuzzy set theory; integral equations; inner fuzzy measure; lower Choquet integrals; lower Lebesgue integrals; outer fuzzy measure; upper Choquet integrals; upper Lebesgue integrals; Cybernetics; Data mining; Decision making; Extraterrestrial measurements; Fuzzy sets; Machine learning; Mathematics; Physics; Choquet integral; Fuzzy measure; Inner fuzzy measure; Outer fuzzy measure;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212273
