Characterizations of Variable Domination Structures via Nonlinear Scalarization |
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| Authors: | G. Y. Chen X. Q. Yang |
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| Affiliation: | (1) Chinese Academy of Sciences, Institute of Systems Science, Beijing, PRC;(2) Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong |
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| 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. |
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| Keywords: | Variable domination structures nondominated solutions nonlinear scalarization vector optimization vector variational inequality |
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