1) convex n-set function
凸n-集函数
1.
In this paper, we consider the continuity of n-set function, discuss the relation of convex n-set function and its epigraph.
该文考虑了n-集函数的连续性,讨论了凸n-集函数与其上方图的关
2) convex n-set
正常凸n集函数
3) function general convexity
广义凸n集函数
4) η-(A,N) Convex Functions
η-(A,N)凸函数
5) n-set functions
n-集函数
1.
Duality for multiobjective programming involving n-set functions;
n-集函数多目标规划的对偶
2.
This paper studied a class of multiobjective programing problems involving differentiable n-set functions,and obtained sufficient optimality conditions for weak efficient solutions under generalized convexity conditions.
在较弱凸性条件下 ,研究了一类可微 n-集函数多目标规划问题的可行解是弱有效解的最优性充分条件。
6) generalized convex set functions
广义凸集函数
1.
The paper presents necessary and sufficient conditions for solutions to multiobjectivematheamatical programming with generalized convex set functions which popularized the documents ″Suffi-cient and necessary conditions for solutions to multiobjective mathematical programming with generalized con-vex set functions″and etc.
给出了广义凸集函数多目标数学规划解的充分必要条件,它是对多目标广义凸规划解的充分必要条件等文献的推
补充资料:凸函数
Image:11559688111252300.jpg
凸函数
凸函数是一个定义在某个向量空间的凸子集c(区间)上的实值函数f
设f为定义在区间i上的函数,若对i上的任意两点x1,x2和任意的实数λ∈(0,1),总有
f(λx1+(1-λ)x2)≤λf(x1)+(1-λ)f(x2),
则f称为i上的凸函数.
判定方法可利用定义法、已知结论法以及函数的二阶导数
说明:补充资料仅用于学习参考,请勿用于其它任何用途。