集函数多目标规划的广义凸对偶性

Generalized Convex Duality for Multiobjective with Set Functions

本文给出了集函数的广义ρ-凸性概念,并用这些概念讨论了集函数多目标规划的Wolfe型对偶性,同时,文中给出了弱有效解的必要条件。

In this paper, the generalized ρ-convexity of a set function is defined andthe wolfe type duality with set functions is discussed under some generalized p-convexity assumptions. We also obtain the necessary condition for weak efficient solution.set function, multiobjective programming, duality