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Characterizations of variable domination structures via nonlinear scalarization. (English) Zbl 0988.49005
Summary: 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.

MSC:
49J40 Variational inequalities
90C29 Multi-objective and goal programming
90B50 Management decision making, including multiple objectives
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