Title :
The key theorem of statistical learning theory based on rough fuzzy number
Author :
Bai, Yun-Chao ; Jing, Zhao
Author_Institution :
Coll. of Econ., Hebei Univ., Baoding, China
Abstract :
In this paper, we give some new concepts of rough fuzzy expected risk functional, rough fuzzy empirical risk functional and rough fuzzy empirical risk minimization principal based on rough fuzzy number. At last, we give and prove the key theorem based on rough fuzzy number, which plays an important role in the statistical learning theory.
Keywords :
fuzzy set theory; minimisation; rough set theory; statistical analysis; rough fuzzy empirical risk functional; rough fuzzy empirical risk minimization principal; rough fuzzy expected risk functional; rough fuzzy number; statistical learning theory; Convergence; Educational institutions; Measurement; Radio frequency; Risk management; Statistical learning; key theorem; rough fuzzy empirical risk minimization principal; rough fuzzy number;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2012 IEEE International Conference on
Conference_Location :
Zhangjiajie
Print_ISBN :
978-1-4673-0088-9
DOI :
10.1109/CSAE.2012.6272652
