广义(F,α,ρ,d)_(h,φ)-对称凸性下多目标规划的最优性充分条件

Sufficient Optimality Conditions for Multiobjective Programming under the Generalized(F,α,ρ,d)_(h,φ)-Symmetrical Convexity

在(F,α,ρ,d)-对称凸函数的基础上定义了(F,α,ρ,d)h,φ-对称凸函数及广义(F,α,ρ,d)h,φ-对称凸函数的概念,并在此基础上得到了多目标规划的有效解的最优性充分条件。

We defined（F,α,ρ,d）（h,φ）-symmetrical convex and generalized（F,α,ρ,d）（h,φ）-symmetrical convex functions.So,the sufficient optimality conditions of multiobjective programming are obtained by applying（F,α,ρ,d）-symmetrical convexity.