一类多目标分式规划的二阶对称对偶问题

高英;杨新民

系统科学与数学 ›› 2011, Vol. 31 ›› Issue (4) : 429-439.

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系统科学与数学 ›› 2011, Vol. 31 ›› Issue (4) : 429-439. DOI: 10.12341/jssms10375
论文

一类多目标分式规划的二阶对称对偶问题

    高英, 杨新民
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SECOND ORDER SYMMETRIC DUALITY FOR A CLASS OF MULTIOBJECTIVE FRACTIONAL PROGRAMMING

    Gao Ying, Yang Xinmin
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摘要

研究一类多目标分式规划的二阶对称对偶问题. 在二阶 F-凸性假设下给出了对偶问题的弱对偶、强对偶和逆对偶定理.并在对称和反对称假设下研究了该问题的自身对偶性.

Abstract

In this paper, a class of second order symmetric dual multiobjective fractional programs is investigated. Weak, strong and converse duality
theorems are established under the second order F−convexity
assumption. A second self duality theorem is also given by
assuming the involved functions to be skew symmetric and symmetric.

关键词

多目标分式规划 / 二阶对称对偶 / 自身对偶.

Key words

Multiobjective fractional programming / second order symmetric duality / self duality.

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高英 , 杨新民. 一类多目标分式规划的二阶对称对偶问题. 系统科学与数学, 2011, 31(4): 429-439. https://doi.org/10.12341/jssms10375
Gao Ying , Yang Xinmin. SECOND ORDER SYMMETRIC DUALITY FOR A CLASS OF MULTIOBJECTIVE FRACTIONAL PROGRAMMING. Journal of Systems Science and Mathematical Sciences, 2011, 31(4): 429-439 https://doi.org/10.12341/jssms10375
中图分类号： 90C29    90C46   
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