%0 Journal Article
%T Optimality Condition for a Class of the Two-level Decision Model with Multiple Objectives<br>一类二层多目标决策模型的最优性条件
%A TENG Chun-xian
%A CHEN Dong-yan
%A <br>滕春贤
%A 陈东彦
%J 系统工程理论与实践
%D 2003
%I 
%X In this paper, we discuss the two-level decision model with multiple objectives, that the upper-level set-value objective functions are defined by the forward surfaces of the partial-optimal solutions for the lower-level problems of optimization. We gave and proved the first-order necessary condition of the optimal solutions for this two-level decision model with multiple objectives, applying the concept and properties of the Clarke tangent derivative for set-value map, and assuming that the supper-level objective functions are differentiable. The obtained necessary condition is formed by the gradients of the upper-level objective functions and the Clarke tangent derivatives of forward surfaces for the lower-level problems of optimization.
%K two-level decision model with multiple objectives
%K partial-optimal solutions
%K forward surface
%K Clarke tangent derivative for set-value map<br>二层多目标决策
%K 偏好最优解
%K 前沿面
%K 集值映射的Clarke切导数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=962324E222C1AC1D&jid=1D057D9E7CAD6BEE9FA97306E08E48D3&aid=8AA20F1AC9CE49A9&yid=D43C4A19B2EE3C0A&vid=EA389574707BDED3&iid=E158A972A605785F&sid=58F693790F887B3B&eid=12DC19455C3A2FA8&journal_id=1000-6788&journal_name=系统工程理论与实践&referenced_num=1&reference_num=8