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 |
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Pages (from-to) | 97-110 |
Number of pages | 14 |
Journal | Journal of Optimization Theory and Applications |
Volume | 112 |
Issue number | 1 |
DOIs | |
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