%0 Journal Article %T LAGRANGE DUALITY AND SCALARIZATION IN MULTIOBJECTIVE PROGRAMMING
多目标规划的 Lagrange 对偶与标量化定理 %A LI ZHONG-FEI %A
李仲飞 %J 系统科学与数学 %D 1993 %I %X 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. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=1F8AB132C57538EF6DB2887349DE0870&yid=D418FDC97F7C2EBA&vid=F3583C8E78166B9E&iid=38B194292C032A66&sid=CC0ECB9C52F1B85F&eid=F9F74EC1AA08A7B9&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=3&reference_num=0