A necessary and sufficient condition for preinvex fuzzy mapping is given by making use of twice differentiable fuzzy mapping, then an equivalent condition of preinvex fuzzy mapping is built. The results provide new thoughts to verify preinvexity fuzzy mapping.
张成, 刘先.预不变凸模糊映射的一些性质[J].重庆工商大学学报(自然科学版),2015,32(3):8-11 ZHANG Cheng, LIU Xian. Some Properties of Preinvex Fuzzy Mapping[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2015,32(3):8-11