Title :
On Choquet Integrals of Fuzzy-Valued Functions with Respect to Fuzzy-Valued Fuzzy Measures
Author :
Guo, Cai-mei ; Zhang, De-li
Author_Institution :
Changchun Univ., Jilin
Abstract :
Recently, Mesiar[6] suggested that, as a generalization linked to the standard fuzzy measure, set-valued[4] or fuzzy-valued fuzzy measures[10] should be given a deep investigation. In the paper, a continuation in the research on choquet integrals valued in fuzzy number sets is further showed. Its integrand is a fuzzy-valued function, and the measure is a fuzzy-valued fuzzy measure. The definition, properties and convergence theorems are obtained.
Keywords :
convergence; fuzzy set theory; integral equations; number theory; Choquet integral; convergence; fuzzy number set; fuzzy-valued function; fuzzy-valued fuzzy measure; Art; Convergence; Cybernetics; Fuzzy sets; Machine learning; Mathematics; Measurement standards; Choquet integral; Convergence theorem; Fuzzy number; Fuzzy-valued function; Fuzzy-valued fuzzy measure;
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-0973-0
Electronic_ISBN :
978-1-4244-0973-0
DOI :
10.1109/ICMLC.2007.4370781
