具有V-不变凸的多目标规划的另一种方法

数学季刊 ›› 2005, Vol. 20 ›› Issue (1): 101-110.

• • 上一篇

具有V-不变凸的多目标规划的另一种方法

Department of Applied Mathematics, Jiangsu University of Science and Technology, Zhenjiang 212003, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Department of Applied Mathematics, Henan University of Science and Technology, Luoyang 471003, China

收稿日期:2004-08-10 出版日期:2005-03-30 发布日期:2024-02-28
作者简介: LIU San-ming(1962-),female,native of Pingyao,Shanxi,an associate professor at Jiangsu University of Science and Technology,M.S.D.,engages in multiobjective programming,theory and application of optimization.
基金资助:
Supported by the National Natural Science Foundation of China(19871009)；

Another Approach to Multiobjective Programming Problems with V-invex Functions

Department of Applied Mathematics, Jiangsu University of Science and Technology, Zhenjiang 212003, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Department of Applied Mathematics, Henan University of Science and Technology, Luoyang 471003, China

Received:2004-08-10 Online:2005-03-30 Published:2024-02-28
About author: LIU San-ming(1962-),female,native of Pingyao,Shanxi,an associate professor at Jiangsu University of Science and Technology,M.S.D.,engages in multiobjective programming,theory and application of optimization.
Supported by:
Supported by the National Natural Science Foundation of China(19871009)；

摘要/Abstract

摘要： In this paper, optimality conditions for multiobjective programming problems having V-invex objective and constraint functions are considered. An equivalent multiobjective programming problem is constructed by a modification of the objective function. Furthermore, a (α,η)-Lagrange function is introduced for a constructed multiobjective programming problem, and a new type of saddle point is introduced. Some results for the new type of saddle point are given.

关键词: efficient solution, V-invex function, vector valued saddle point, multiobjective programming, vector valued (a,η)-Lagrange function

Abstract: In this paper, optimality conditions for multiobjective programming problems having V-invex objective and constraint functions are considered. An equivalent multiobjective programming problem is constructed by a modification of the objective function. Furthermore, a (α,η)-Lagrange function is introduced for a constructed multiobjective programming problem, and a new type of saddle point is introduced. Some results for the new type of saddle point are given.

Key words: efficient solution, V-invex function, vector valued saddle point, multiobjective programming, vector valued (a,η)-Lagrange function

中图分类号:

O221.6

刘三明, 冯思民, 李小申. 具有V-不变凸的多目标规划的另一种方法[J]. 数学季刊, 2005, 20(1): 101-110.

LIU San-ming, FENG En-min, LI Xiao-shen). Another Approach to Multiobjective Programming Problems with V-invex Functions[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 101-110.

[1]	张庆祥, 姜艳, 康瑞瑞. (V,ρ)_h,φ-Ⅰ 型多目标规划的最优性充分条件[J]. 数学季刊, 2012, 27(3): 409-416.
[2]	黄龙光. 向量优化问题的对偶性[J]. 数学季刊, 2012, 27(1): 133-138.
[3]	张健, 王其林. 锥似凸映射下集值优化Henig有效解的高阶最优性条件[J]. 数学季刊, 2011, 26(3): 415-419.
[4]	周轩伟. Hausdorff拓扑向量空间中锥拟凸多目标规划锥有效解集的连通性[J]. 数学季刊, 2010, 25(1): 132-139.
[5]	王其林 . 集值映射向量优化的ε-强有效解[J]. 数学季刊, 2010, 25(1): 104-109.

具有V-不变凸的多目标规划的另一种方法

Another Approach to Multiobjective Programming Problems with V-invex Functions

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

本文评价