Characterizations of variable domination structures via nonlinear scalarization

G. Y. Chen; Xiaoqi Yang

doi:10.1023/A:1013044529035

Characterizations of variable domination structures via nonlinear scalarization

G. Y. Chen, Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

58 Citations (Scopus)

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.

Original language	English
Pages (from-to)	97-110
Number of pages	14
Journal	Journal of Optimization Theory and Applications
Volume	112
Issue number	1
DOIs	https://doi.org/10.1023/A:1013044529035
Publication status	Published - 1 Jan 2002

Keywords

nondominated solutions
nonlinear scalarization
Variable domination structures
vector optimization
vector variational inequality

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1023/A:1013044529035

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Characterizations of variable domination structures via nonlinear scalarization

Abstract

Keywords

ASJC Scopus subject areas

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