强E-凸集,强E-凸函数和强E-凸规划

Strong E-convex set,strong E-convex function and strong E-convex programming

在E-凸集与E-凸函数定义的基础上,通过将E-凸集和E-凸函数的定义加强而得到强E-凸集与强E-凸函数的定义。它们的一些特征被讨论。虽然这种定义的条件比E-凸集和E-凸函数的条件更强。但通过这种定义,E-凸规划的条件被减弱了,从而扩大了E-凸规划的实用范围。

Under the definition of E-convex set and E-convex function, by strengthing the definitions of E-convex set and E-convex function, the definitions of strong E-convex set and strong E-convex function were got. Some properties were discussed. Although the conditions of the definition are stronger than E-convex set and E-convex function, by the definition ,some conditions of E-convex programming were eliminated. Thus the applied scope of E-convex programming was extended.