Characterizations of variable domination structures via nonlinear scalarization
文献类型:期刊论文
作者 | Chen, GY; Yang, XQ |
刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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出版日期 | 2002 |
卷号 | 112期号:1页码:97-110 |
关键词 | variable domination structures nondominated solutions nonlinear scalarization vector optimization vector variational inequality |
ISSN号 | 0022-3239 |
英文摘要 | 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. |
WOS研究方向 | Operations Research & Management Science ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000173929000005 |
出版者 | KLUWER ACADEMIC/PLENUM PUBL |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17826] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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