一类广义弧式凸函数多目标规划的充分性条件

吉林大学学报(工学版) ›› 2001, Vol. ›› Issue (1): 57-61.

一类广义弧式凸函数多目标规划的充分性条件

王英英¹, 董加礼²

1. 吉林建筑工程学院基础部, 吉林长春 130021;
2. 吉林大学南岭校区理学院, 吉林长春 130025

收稿日期:2000-06-18 出版日期:2001-01-25

Sufficient Conditions of Multiobjective Programming for a Kind of Generalized Arcwise Convex Functions

WANG Ying-ying¹, DONG Jia-li²

1. Dept of Fundamental Sciences, Jinlin Institute of Civil Engineering, Changchun 130021, China;
2. College of Sciences, Jilin University, Nanling Campus, Changchun 130025, China

Received:2000-06-18 Online:2001-01-25

摘要/Abstract

摘要： 定义了一类更一般的弧式凸函数,并在此基础上论证了其多目标规划的充分性条件。

关键词: 多目标规划, 充分性条件, ρ弧式凸性函数, 有效解, 弱有效解

Abstract: In this paper,a kind of more generalized arcwise convex functions:ρ arcwise convexity functions is defined.On the basis of definitions,sufficient conditions of multiobjective programming are proved.

Key words: multiobjective programming, sufficient condition, ρ arcwise convexity functions, efficient solution, weak efficient solution

中图分类号:

O221

王英英, 董加礼. 一类广义弧式凸函数多目标规划的充分性条件[J]. 吉林大学学报(工学版), 2001, (1): 57-61.

WANG Ying-ying, DONG Jia-li. Sufficient Conditions of Multiobjective Programming for a Kind of Generalized Arcwise Convex Functions[J]. 吉林大学学报(工学版), 2001, (1): 57-61.

参考文献

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[2] 王英英.广义凸多目标规划的最优性条件及对偶理论［D］.长春:吉林工业大学理学院,1994.
[3] Hanson M A. On sufficiency of the kuhn-tucker conditions［J］.J. Math. Anal. Appl., 1981,80:545～550.
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[5] Wang Y Y. Duqlity theorems of the multiobjective programming for generalized arcwise quasiconvex and pseudoconvex functions［J］. Journal of Jilin Architectural and Civil Engineering Institute, 1996, 31(4):29～35.

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