Fuzzy continuity of convex fuzzy mapping based on relative interior

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-convex fuzzy mapping; lower(upper) semi continuous fuzzy mappings; continuous fuzzy mappings; epigraph relative interior