向量优化问题 (C,\varepsilon)-弱有效解的一种非线性标量化性质

doi:10.15960/j.cnki.issn.1007-6093.2015.02.012

Abstract

Abstract:

Recently, Guti\'{e}rrez et al. proposed a new type of efficiency based on co-radiant set which called (C,\varepsilon)-efficient solution in vector optimization. This new notion of efficiency unifies some well-known concepts introduced previously in the literature. In this paper, we characterizes the new (C,\varepsilon)-efficient solution by a nonlinear scalarization function proposed by G\"{o}pfert, et al. Furthermore, an example is given to illustrate our main result.

Key words: weakly (C,\varepsilon)-efficient solution, nonlinear scalarization, vector optimization

GUO Hui. A characterization of weakly (C,\varepsilon)-efficient solution of vector optimization via nonlinear scalarization[J]. Operations Research Transactions, 2015, 19(2): 105-110.

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A characterization of weakly (C,\varepsilon)-efficient solution of vector optimization via nonlinear scalarization

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