Title :
Convergence Theorems for Sequences of (S)Fuzzy Integral
Author :
Yang, Lan-zhen ; Ming-Hu Ha
Author_Institution :
Hebei Univ., Baoding
Abstract :
Several convergence theorems for sequences of (S)fuzzy integral are discussed, such as monotone decreasing convergence theorem, pseudo-almost everywhere convergence theorem, and so on. The necessary and sufficient conditions for pseudo-almost convergence theorem are derived, and a weak necessary condition for the monotone decreasing convergence theorem is also obtained.
Keywords :
fuzzy set theory; fuzzy integral sequences; monotone decreasing convergence theorem; pseudo-almost everywhere convergence theorem; Computer science; Convergence; Cybernetics; Data mining; Decision making; Extraterrestrial measurements; Fuzzy sets; Machine learning; Mathematics; Sufficient conditions; (S)Fuzzy integrable function; (S)Fuzzy integral; Pseudo-almost everywhere; Pseudo-null-additive;
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.2007.4370338
