Title :
The interior structure and compactness of B-convex hull
Author :
Yu, Xian-wei ; Wang, Zhi-fu ; Liu, Xiao-Gang
Author_Institution :
Dept. of Math., Bobai Univ., Liaoning, China
Abstract :
Based on the definition of B-convex set, which was introduced by Bector etc. via loosening the convexity of convex set (Bector, CR, et al., 1991 and 1993), the definition of B-convex set is given and the interior structure is discussed. In the meantime, an important topological property of B-convex set, i.e. the compactness of B-convex set, is given.
Keywords :
set theory; topology; B-convex hull; B-convex set; interior structure; topological property; Cybernetics; Mathematics; Sufficient conditions;
Conference_Titel :
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN :
0-7803-8403-2
DOI :
10.1109/ICMLC.2004.1382319
