摘要
为了丰富广义凸函数类,扩大多目标规划的应用范围,运用Clark广义梯度,借助αE半预不变凸函数和G B(p,r,α)不变凸函数,进一步给出了一类新的广义凸函数的定义:G_(b)(p,r)E半预不变凸函数。对于涉及这类函数的多目标规划问题,得到了其可行解是弱有效解的若干最优性条件。
In an effort to develop the classes of generalized convex functions and enlarge the applying range of multi-objective programming,a new type of generalized convex functions,namely G_(b)(p,r)E semi-pre-invex functions,were defined by using Clark generalized gradient on the basis ofαE semi-pre-invex functions and G B(p,r,α)invex functions.Several optimality conditions that the feasible solutions are weakly efficient solutions of multi-objective programming problems involving this kind of functions are studied.
作者
祁钰
高晓艳
QI Yu;GAO Xiaoyan(College of Science,Xi an University of Science and Technology,Xi an 710600,China)
出处
《广西大学学报（自然科学版）》
CAS
北大核心
2023年第2期487-494,共8页
Journal of Guangxi University（Natural Science Edition）
基金
国家自然科学基金项目(12001420)
