vectorization

On Vectorization Strategies in Set Optimization

  • Gabriele Eichfelder
  • Tobias Gerlach
    • Categories Multi-Criteria Optimization Tags , , ,

    In this paper, we investigate solution approaches in set optimization that are based on so-called vectorization strategies. Thereby, the original set-valued problems are reformulated as multi-objective optimization problems, whose optimal solution sets approximate those of the original ones in a certain sense. We consider both infinite-dimensional and finite-dimensional vectorization approaches. In doing so, we collect … Read more

    On Two Vectorization Schemes for Set-valued Optimization

  • Gabriele Eichfelder
  • Tobias Gerlach
  • Ernest Quintana
  • Stefan Rocktäschel
    • Categories Multi-Criteria Optimization Tags , , ,

    In this paper, we investigate two known solution approaches for set-valued optimization problems, both of which are based on so-called vectorization strategies. These strategies consist of deriving a parametric family of multi-objective optimization problems whose optimal solution sets approximate those of the original set-valued problem with arbitrary accuracy in a certain sense. Thus, these approaches … Read more