Characterizations of Variable Domination Structures via Nonlinear Scalarization

G. Y. Chen and X. Q. Yang
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G. Y. Chen: Institute of Systems Science
X. Q. Yang: Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2002, vol. 112, issue 1, No 5, 97-110

Abstract: 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.

Keywords: Variable domination structures; nondominated solutions; nonlinear scalarization; vector optimization; vector variational inequality (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (13)

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DOI: 10.1023/A:1013044529035

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