期刊文献+

择一定理与二层多目标规划的最优性条件 被引量:2

Theorem of Alternative and Optimality Conditions in Bilevel Multiobjective Programming Problems
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摘要 使用关于集值映射的择一定理,在锥一次类凸背景下,对二层多目标规划的最优性条件进行讨论,获得了几个必要条件和充分条件。 In this paper,we obtain some necessary optimality conditions and suffi-cient optimality conditions of the bilevel multiobjective programming problems by using the theorem of alternative and connected results introduced by Li for set-valued maps, under the assumption of cone-subconvex likeness for set-valued maps.
出处 《阴山学刊》 1999年第6期1-7,共7页 Yinshan Academic Journal
基金 国家自然科学基金资助项目19501022 内蒙古自然科学基金资助项目980201
关键词 二层多目标规划 集值映射 择一定量 最优性条件 数学规划 欧氏空间 set-valued map cone-subconvexlikeness the theorem of alternative optimality conditions
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参考文献4

  • 1Z. Li. A Theorem of the Alternative and Its Application to the Optimization of Set-Valued Maps[J] 1999,Journal of Optimization Theory and Applications(2):365~375
  • 2H. W. Corley. Optimality conditions for maximizations of set-valued functions[J] 1988,Journal of Optimization Theory and Applications(1):1~10
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  • 4P. L. Yu. Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives[J] 1974,Journal of Optimization Theory and Applications(3):319~377

同被引文献7

  • 1H. W. Corley. Optimality conditions for maximizations of set-valued functions[J] 1988,Journal of Optimization Theory and Applications(1):1~10
  • 2G. B. Hazen,T. L. Morin. Optimality conditions in nonconical multiple-objective programming[J] 1983,Journal of Optimization Theory and Applications(1):25~60
  • 3P. L. Yu. Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives[J] 1974,Journal of Optimization Theory and Applications(3):319~377
  • 4Corley H W. Optimality Conditions for Maximization of Set-Valued Function[J]. Journal of Optimization Theory and Applicatiom, 1988,58:1 - 11.
  • 5R.oc~ R. T. Convex Analysis[M]. Princeton Univ. Press,1970.
  • 6Clarke F H. Optimization and Nommooth Analysis[M].New York: Wilty-intetscience,1983.
  • 7范丽亚,戎卫东.伴随上导数与二层多目标决策的最优性条件[J].阴山学刊,1999,12(6):39-45. 被引量:1

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