线性多目标优化中本质与非本质目标函数的计算方法
最优化与控制
2008-11-08 v1
摘要
为多准则决策问题获取定义明确的准则这一问题已广为人知。处理该问题的方法之一是非本质目标函数的概念。如果某个目标函数在包含或不包含的情况下,有效解集均相同,则称该目标函数为非本质的。在本文中,我们综合了两种确定非本质目标函数的方法。使用计算机代数系统完成了计算实现。
引用
@article{arxiv.0706.1192,
title = {A Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization},
author = {Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0706.1192},
year = {2008}
}
评论
To be partially presented at the 23rd IFIP TC 7 International Conference on System Modelling and Optimization, Cracow, Poland, July 23-27, 2007. Work supported by KBN under Bialystok Technical University grant W/WI/17/07; and the R&D unit CEOC of the University of Aveiro through FCT and FEDER/POCI 2010