Approximate solutions of vector optimization problem with variable ordering structure
Behnam Soleimani, Christiane Tammer · AIP conference proceedings · 2012
We introduce concepts for approximate minimal and nondominate solutions of vector optimization problems with variable ordering structure. We discuss basic concepts of approximate solutions, where the variable ordering structure is defined by sets with certain properties. Furthermore, we introduce a scalarization method by means of nonlinear functionals and present a characterization of approximate minimal and nondominate solutions by using this scalarization method.