关于多目标优化问题Geoffrion真有效解的一点注记  

A Note on Geoffrion Properly Efficient Solutions of Multiobjective Optimization Problems

作　　者：唐莉萍[1] TANG LIPING(College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《应用数学学报》2020年第5期875-881,共7页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11991024,11971084,11701057);重庆市自然科学基金面上项目(cstc2020jcyjmsxmX0053);重庆市巴渝学者青年学者计划,重庆市教委项目(KJQN201800806);重庆工商大学科研项目(1552005,1756010,1774022)资助。

摘　　要：本文讨论了原多目标优化问题与转换后的多目标优化问题间G eoffrion真有效解的等价关系.这一结果是对Zarepisheh和Pardalos[Annals of Operations Research,2017,249(1-2):5-15]工作的改进.此外,举例说明了主要内容.In this note,we give an equivalent relationship between Geoffrion properly efficient solutions of the original and transformed mutliobjective optimization problems.This result is a slightly modified version of the work of Zarepisheh and Pardalos[Annals of Operations Research,2017,249(1-2):5-15].Furthermore,we give an example to show the modified theorem.

关 键 词：多目标优化 Geoffrion真有效解 

分 类 号：O221.6[理学—运筹学与控制论]