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强预不变凸多目标规划的Mond-Weir型对偶 被引量:1

Mond-Weir Duality for Multiobjective Programming with Strongly Preinvex Functions
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摘要 利用强预不变凸函数的性质,提出了多目标规划问题的Mond-Weir型对偶理论中的弱对偶定理、强对偶定理以及逆对偶定理. Based on the properties of strongly preinvex function,the weak duality theorem,the strong duality theorem and inverse duality theorem of multiobjective programming for strongly preinvex function with Mond-Weir Duality.
作者 汪春峰 蒋妍
出处 《河南科学》 2009年第1期11-13,共3页 Henan Science
基金 国家自然科学基金资助项目(10671057)
关键词 强预不变凸函数 多目标规划 有效解 对偶性 strongly preinvex function multiobjective programming efficient solutions duality
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参考文献4

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  • 2Weir T, Mond B. Pre-invex function in multiple objective optimization[J]. J M A A, 1988, 136: 29-38.
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二级参考文献13

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  • 2杨新民.凸函数的两个充分性条件[J].重庆师范学院学报(自然科学版),1994,11(4):9-12. 被引量:8
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共引文献37

同被引文献5

  • 1Bector C R, Sunjia S K, Gupta S. Univex functions and univex nonlinear programming [C]//Proceedings of the Administrative Sciences Association of Canada, 1992:115-124.
  • 2Yuan D H, Liu X L, Chinchuluun A,et al. Nondifferentiable minimax fractional programming problems with (C, α,ρ,d)- convexity [J]. Optimization Theory and Applications, 2006, 129 (1) : 185 - 199.
  • 3Tadeusz Antczak. Optimality and duality for nonsmooth multiobjective programming problems with V-r-invexity[J]. J Glob Optim, 2009,45.319-334.
  • 4李向有,张庆祥.V-ρ一致不变凸多目标规划的对偶性[J].甘肃科学学报,2007,19(3):16-18. 被引量:1
  • 5张庆祥,魏暹孙,张根耀.一类多目标半无限规划的最优性充分条件[C]∥中国运筹学会第六届学术交流会论文集.香港:Global-Link出版社,2000.

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