The Institute for Statistics and Mathematics is pleased to invite you to the next research seminar, taking place on campus:

Gabriele Eichfelder (Institute of Mathematics, TU Ilmenau)
Multiobjective Replacements for Set Optimization and Robust Multiobjective Optimization
Friday, December 16, 2022, 10:30 am, Building TC, Room TC.3.01

Abstract:
Set-valued optimization using the set approach is a research topic of high interest due to its practical relevance and numerous interdependencies to other fields of optimization. An important example are robust approaches to uncertain multiobjective optimization problems which result in such set optimization problems. However, it is a very difficult task to solve these optimization problems even for specific cases.
In this talk, we present parametric multiobjective optimization problems for which the optimal solutions are strongly related to the optimal solutions of the set optimization problem. This corresponds to the well-known idea of scalarization in multiobjective optimization. We give results on approximation guarantees and we examine particular classes of set-valued mappings for which the corresponding set optimization problem is in fact equivalent to a multiobjective optimization problem, like set-valued mappings with a convex graph.

We aim to stream all on-campus talks via Zoom. A direct link to the stream will be posted on our website.

For further information and the seminar schedule, please see:
www.wu.ac.at/en/statmath/research/resseminar