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一类多目标优化弱有效解的判定方法
引用本文:王彩玲,吕显瑞.一类多目标优化弱有效解的判定方法[J].吉林大学学报(理学版),2011,49(5):879-881.
作者姓名:王彩玲  吕显瑞
作者单位:吉林大学 数学学院, 长春 130012
基金项目:吉林省自然科学基金(批准号:201115043)
摘    要:给出一种目标函数是线性函数、 约束函数是非线性函数的一类特殊多目标优化问题弱有效子集的简易判定方法, P个目标的弱有效解可以利用某两个单目标函数组成的双目标优化问题进行判定, 并给出了此类多目标优化问题的判别准则.

关 键 词:多目标优化    弱有效解    判定方法  
收稿时间:2011-03-11

Judge Method for Solving Weekly Efficient Solution of Multiobjective Optimization
WANG Cai-Ling,LV Xian-Rui.Judge Method for Solving Weekly Efficient Solution of Multiobjective Optimization[J].Journal of Jilin University: Sci Ed,2011,49(5):879-881.
Authors:WANG Cai-Ling  LV Xian-Rui
Institution:College of Mathematics, Jilin University, Changchun 130012, China
Abstract:The authors presented a new judge method for solving the subset of the weakly efficient solution of a class of special multiobjective optimization problems(NVP),of which objective function was linear function and restricted function was nonlinear function.Simple judging method was given for the subset of the weakly efficient solution of the problem(NVP).Weakly efficient solution of P-object could be determined by double objective optimization problem for the problem(NVP).
Keywords:multiobjective optimization  weakly efficient solution  judge method  
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