Title :
Fuzzy continuity of convex fuzzy mapping based on relative interior
Author :
Yanhong Li ; Zhaoyou Tian
Author_Institution :
Dept. of Math., Teacher´s Coll. Eastern Liaoning Univ., Dandong, China
Abstract :
In the sense of the convex fuzzy mapping, the lower semi continuous fuzzy mapping and the continuous fuzzy mapping are defined in this paper. And on relative interior of Euclidean spaces, an important result is obtained that the convex fuzzy mapping is continuous fuzzy mapping.
Keywords :
fuzzy set theory; Euclidean spaces; continuous fuzzy mapping; convex fuzzy mapping; fuzzy continuity; relative interior; semicontinuous fuzzy mapping; Aerospace electronics; Convergence; Educational institutions; Fuzzy sets; Fuzzy systems; Vectors; continuous fuzzy mappings; convex fuzzy mapping; epigraph relative interior; lower(upper) semi continuous fuzzy mappings;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2013 10th International Conference on
Conference_Location :
Shenyang
DOI :
10.1109/FSKD.2013.6816167
