摘要
基于模糊数空间的一种新的序关系,给出了可微的凸模糊数值函数、拟凸模糊数值函数的刻划定理,并讨论了它们的关系.同时,给出了凸模糊数值函数取得最小值的充分条件以及凸化一般模糊数值函数的一种方法.
Based on a new concept of ordering, the characterizations of differential convex fuzzy-valued function, quasi-convex fuzzy-valued function are given and their relation is discussed. In addition, a sufficient condition of convex fuzzy-valued function getting minimum value is presented, and the method of convexification for a usual fuzzy-valued function is also given.
出处
《西北师范大学学报（自然科学版）》
CAS
2007年第5期1-6,11,共7页
Journal of Northwest Normal University(Natural Science)
基金
甘肃省教育厅科研基金资助项目(0601-20)
关键词
模糊数
凸模糊数值函数
拟凸模糊数值函数
fuzzy number
convex fuzzy-valued function
quasi-convex fuzzy-valued function
