摘要
利用本文所定义的上(下)半连续,在一种新序意义下讨论了预不变凸模糊数值函数的若干判定定理.特别地,给出了预不变凸模糊数值函数的刻划定理.最后,作为应用,讨论了一类模糊数学规划问题的严格局部最优解和全局最优解存在的条件.
Based on the ordering of fuzzy numbers proposed by Goetsehel and Voxman, the definition of upper （lower）semicontinuity of fuzzy-valued function is given, and some judge theorems and a characterization of preinvex fuzzy-valued function are obtained. As an application, the conditions that the fuzzy mathematical programming problems have local strictly optimal solution and global optimal solution are discussed.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2010年第1期1-5,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10771171)
甘肃省自然科学基金资助项目(0803RJZA108)
关键词
模糊数
上半连续
下半连续
预不变凸性
fuzzy number
upper semicontinuity
lower semicontinuity
preinvexity
