Title :
The boundedness and continuity of convex fuzzy number mappings
Author :
Wang, Gui-Xiang ; Li, You-Ming ; Li, Wei
Author_Institution :
Sci. Sch., Hangzhou Dianzi Univ., China
Abstract :
In this paper, we introduce some concepts on continuity and boundedness of fuzzy number mappings, and give out some preliminary results in relation to the continuity and boundedness. And then, we discuss the relations between continuity and boundedness about convex fuzzy number mappings, and obtain three theorems and two corollaries.
Keywords :
fuzzy set theory; number theory; bounded fuzzy number mapping; boundedness; continuous fuzzy number mapping; convex fuzzy number mappings; Cybernetics; Differential equations; Fuzzy sets; Integral equations; Machine learning; Mathematics; Fuzzy numbers; bounded fuzzy number mappings; continuous fuzzy number mappings; convex fuzzy number mappings;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527357
