LAGRANGE DUALITY AND SCALARIZATION IN MULTIOBJECTIVE PROGRAMMING
多目标规划的 Lagrange 对偶与标量化定理

In this paper,we study Lagrange duality and scalarization in multiobjective optimization.Under some weak assumptions,we prove a Lagrange multiplier theorem,two weak saddlepoint theorems,a weak duality theorem and a strong duality theorem.Finally,a theorem onscalarization is also presented.