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Approximate proper efficiency in vector optimization

文献类型：期刊论文

作者Zhao, Kequan1; Chen, Guangya2; Yang, Xinmin1
刊名OPTIMIZATION
出版日期2015-08-03
卷号64期号:8页码:1777-1793
关键词nonlinear scalarization linear scalarization vector optimization approximate solutions approximate proper efficient solutions 90C26 90C29 90C30 90C46
ISSN号0233-1934
DOI10.1080/02331934.2014.979818
英文摘要In recent years, some different kinds of approximate proper efficiency have been proposed by means of different tools including co-radiant set and improvement set for a vector optimization problem. In this paper, we first summarize some known concepts of approximate proper efficiency, relations among them and some corresponding linear scalarization theorems in the literature. Moreover, by means of nonlinear scalarization technique, we also give a characterization of -Benson proper efficient solutions without the assumption of monotonicity of norm. In the end, we also propose some valuable problems on approximate proper efficiency.
资助项目National Natural Science Foundation of China[11431004] ; National Natural Science Foundation of China[11301574] ; National Natural Science Foundation of China[11271391] ; National Natural Science Foundation of China[11171363] ; Natural Science Foundation Project of Chongqing[2011BA0030] ; Natural Science Foundation Project of Chongqing[CSTC2012jjA00002] ; Research Fund for the Doctoral Program of Chongqing Normal University[13XLB029]
WOS研究方向Operations Research & Management Science ; Mathematics
语种英语
WOS记录号WOS:000356246000001
出版者TAYLOR & FRANCIS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/19985]  
专题中国科学院数学与系统科学研究院
通讯作者Yang, Xinmin
作者单位1.Chongqing Normal Univ, Coll Math Sci, Chongqing, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Zhao, Kequan,Chen, Guangya,Yang, Xinmin. Approximate proper efficiency in vector optimization[J]. OPTIMIZATION,2015,64(8):1777-1793.
APA Zhao, Kequan,Chen, Guangya,&Yang, Xinmin.(2015).Approximate proper efficiency in vector optimization.OPTIMIZATION,64(8),1777-1793.
MLA Zhao, Kequan,et al."Approximate proper efficiency in vector optimization".OPTIMIZATION 64.8(2015):1777-1793.

入库方式： OAI收割

来源：数学与系统科学研究院

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