KMS Of Academy of mathematics and systems sciences, CAS
Characterizations of variable domination structures via nonlinear scalarization | |
Chen, GY; Yang, XQ | |
2002 | |
Source Publication | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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ISSN | 0022-3239 |
Volume | 112Issue:1Pages:97-110 |
Abstract | 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. |
Keyword | variable domination structures nondominated solutions nonlinear scalarization vector optimization vector variational inequality |
Language | 英语 |
WOS Research Area | Operations Research & Management Science ; Mathematics |
WOS Subject | Operations Research & Management Science ; Mathematics, Applied |
WOS ID | WOS:000173929000005 |
Publisher | KLUWER ACADEMIC/PLENUM PUBL |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17827 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Chen, GY |
Affiliation | 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 |
Recommended Citation 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. |
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