On vectorization strategies in set optimization

Gabriele Eichfelder & Tobias Gerlach

Mathematical Methods of Operations Research2026https://doi.org/10.1007/s00186-025-00912-4article
AJG 1
Weight
0.50

What the paper says

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 and discuss the most important properties and relationships between the approaches.

Open paper page →

Cite this paper

https://doi.org/https://doi.org/10.1007/s00186-025-00912-4

Or copy a formatted citation

@article{gabriele2026,
  title        = {{On vectorization strategies in set optimization}},
  author       = {Gabriele Eichfelder & Tobias Gerlach},
  journal      = {Mathematical Methods of Operations Research},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1007/s00186-025-00912-4},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

On vectorization strategies in set optimization

Flags are reviewed by the Arbiter methodology team within 5 business days.


Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.