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

Chen, Guangya; Yang, Xiao Qi

J. Optimization Theory Appl. 112, No. 1, 97-110 (2002).

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

Keywords:

nonlinear scalarization; variable domination structure; nondominated solution; multicriteria decision making; vector variational inequalities

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