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关于(F,ρ)-不变拟凸及伪凸函数条件下(VFP)的充要条件 被引量:1

The Sufficient and Necessary Conditions of the (VFP) for (F,ρ)- Invariant Quasiconvex and Pseudoconvex Functions
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摘要 在文献[1]中,讨论了(F,ρ)-不变凸函数条件下,多目标分式规化(VFP)的充要条件.该文是在此基础上,讨论(F,ρ)-不变拟凸、伪凸及严格伪凸函数条件下多目标分式规划(VFP)的充要条件,从而,进一步扩展、完善了关于广义凸函数多目标分式优化的结论. The sufficient and necessary conditions of the multiobjective fractional programming (VFP) for (F,ρ)-invariant convex function was discussed in reference.Based on it,the sufficient and necessary conditions of the (VFP) for (F,ρ)-invariant quasiconvex and pseudoconvex functions are proved in this paper,which can be thought of as the extending of conclusion of the multiobjective fractional programming.
出处 《吉林建筑工程学院学报》 CAS 2005年第1期53-56,共4页 Journal of Jilin Architectural and Civil Engineering
关键词 多目标分式规划 充要条件 弱有效解 (F ρ)-不变拟凸函数 (F ρ)-不变伪凸函数 multiobjective fractional programming sufficient and necessary conditions weak efficient solution (F,ρ)-invariant quasiconvex fuction (F,ρ)-invariant pseudoconvex fuction
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参考文献3

  • 1王英英,罗瑞平.多目标分式规划的最优性条件[J].吉林建筑工程学院学报,2003,20(4):54-56. 被引量:1
  • 2[2]WANG Yingying,DONG Jiali.Duality Theorems of Multiobjective Programming for a class of Generalized Convex Functions[J].运筹学学报,1998(4):23-31.
  • 3[3]Weir,T.,and Bond,B.,Generalized Convexity and Dunlity in Multiple objective Programming,Bulletion of the Australian Mathematical Society[J].Vol.39,pp.287-299,1989.

二级参考文献2

  • 1[1]Weir, T., and Bond, B. , Generalized Convexity and Dunlity in Multiple objective programming, Bulletin of the Australian Mathematical Soci-ety[J]. Vol. 39, PP. 287 - 299,1989.
  • 2[2]WANG Yingying, DONG Jiali .Duality Theorems of Multiobjective Programming for a class of Generalized Convex Functions[J]. 运筹学学报, 1998(4).

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