In this paper, a criterion for the convex fuzzy mapping is obtained under the condition of upper and lower semicontinuity, respectively. An upper (lower) semicontinuous fuzzy mapping is proved, which convexity is equivalent to weak convexity or B-vexity satisfying a special condition. © 2006 Elsevier Ltd. All rights reserved.
Bao, Y. E., & Wu, C. X. (2006). Convexity and semicontinuity of fuzzy mappings. Computers and Mathematics with Applications, 51(12), 1809–1816. https://doi.org/10.1016/j.camwa.2006.01.009