ρ-弧式凸函数多目标规划的对偶定理

吉林大学学报(工学版) ›› 2002, Vol. ›› Issue (1): 57-61.

ρ-弧式凸函数多目标规划的对偶定理

王英英, 罗瑞平

吉林建筑工程学院基础科学系, 吉林, 长春, 130021

收稿日期:2001-10-12 出版日期:2002-01-25

Duality Theorems of Multiobjective Programming for ρ-Arcwise Convex Function

WANG Ying-ying, LUO Rui-ping

Dept of Fundamental Sciences, Jilin Institute of Civil Engineering, Changchun 130021, China

Received:2001-10-12 Online:2002-01-25

摘要/Abstract

摘要： 文献[1]定义了一类广义弧式凸函数:ρ弧式凸函数,并讨论了其多目标规划的充分性条件。本文在此定义下讨论了其多目标规划的对偶问题。

关键词: 多目标规划, 有效解, ρ弧式凸函数, 对偶定理

Abstract: A class of more general generalized arcwise convex fuctions, ρ-arcwise convex functions,are defined and its sufficient conditions are proved in reference[1].In this paper,the duality theorems of multiobjective programming are proved on the basis of the reference[1].

Key words: multiobjective programming, efficient solution, ρ-arcwise convexity function, duality theorems

中图分类号:

O221

王英英, 罗瑞平. ρ-弧式凸函数多目标规划的对偶定理[J]. 吉林大学学报(工学版), 2002, (1): 57-61.

WANG Ying-ying, LUO Rui-ping. Duality Theorems of Multiobjective Programming for ρ-Arcwise Convex Function[J]. 吉林大学学报(工学版), 2002, (1): 57-61.

参考文献

[1] 王英英,董加礼.一类广义弧式凸函数多目标规划的充分条件［J］.吉林工业大学自然科学学报,2001(1):57～61.
[2] 林锉云,董加礼.多目标优化的方法与理论［M］.长春:吉林教育出版社,1992.
[3] 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:1994:12～13.
[4] 王英英,董加礼,林玎.关于(F,ρ).不变凸性函数多目标规划的充分性条件［J］.运等学学报,2000(4):75～80.

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