Approximate proper efficiency in vector optimization

doi:10.1080/02331934.2014.979818

CSpace

	Approximate proper efficiency in vector optimization
	Zhao, Kequan 1; Chen, Guangya 2; Yang, Xinmin 1
	2015-08-03
发表期刊	OPTIMIZATION
ISSN	0233-1934
卷号	64 期号:8 页码:1777-1793
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.
关键词	nonlinear scalarization linear scalarization vector optimization approximate solutions approximate proper efficient solutions 90C26 90C29 90C30 90C46
DOI	10.1080/02331934.2014.979818
语种	英语
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
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000356246000001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19986
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.