Characterizations of variable domination structures via nonlinear scalarization

CSpace

	Characterizations of variable domination structures via nonlinear scalarization
	Chen, GY ; Yang, XQ
	2002
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	112 期号:1 页码:97-110
摘要	In this paper, a nonlinear scalarization function is introduced for a variable domination structure. It is shown that this function is positively homogeneous, subadditive, and strictly monotone. This nonlinear function is then applied to characterize the weakly nondominated solution of multicriteria decision making problems and the solution of vector variational inequalities.
关键词	variable domination structures nondominated solutions nonlinear scalarization vector optimization vector variational inequality
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000173929000005
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17827
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, GY
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Chen, GY,Yang, XQ. Characterizations of variable domination structures via nonlinear scalarization[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2002,112(1):97-110.
APA	Chen, GY,&Yang, XQ.(2002).Characterizations of variable domination structures via nonlinear scalarization.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,112(1),97-110.
MLA	Chen, GY,et al."Characterizations of variable domination structures via nonlinear scalarization".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 112.1(2002):97-110.