| | | | | 关于(F,ρ)-不变拟凸及伪凸函数条件下(VFP)的充要条件 | | | 王英英,王抵修 | | | 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.
【作者单位】：吉林建筑工程学院基础科学系;吉林建筑工程学院计算机科学系 长春 130021;长春 130021
【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
【分类号】：O221
【DOI】：cnki:ISSN:1009-0185.0.2005-01-016
【正文快照】：
0 引言 先引入文献[2]中定义的(F,ρ)-不变拟凸、伪凸及严格不变伪凸函数.定义1[2] 如果泛函数F(x)在空间V En上满足以下2条:1° F(x+y) F(x)+F(y), x,y∈V2° F(αx)=αF(x), x∈V,α 0则称F(x)在空间V En上是次线性的.定义2[2] 设φ(x)是定义在某个集合C En上的可微 | | |  推荐 CAJ下载  PDF下载 | | | CAJViewer7.0阅读器支持所有CNKI文件格式，AdobeReader仅支持PDF格式 | | | | The Sufficient and Necessary Conditions of the (VFP) for (F,ρ)- Invariant Quasiconvex and Pseudoconvex Functions | | | WANG Ying-ying~1;WANG Di-xiu~2 (1:Department of Basic Science;Jilin Architectural and Civil Engineering Institute;Changchun130021; 2:Department of Computer Science;Jilin Architectural and Civil Enginnering Institute;Changchun130021) | | | 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.
【Keyword】：multiobjective fractional programming;sufficient and necessary conditions;weak efficient solution;(F,ρ)-invariant quasiconvex fuction;(F,ρ)-invariant pseudoconvex fuction |
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