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Sie sind hier: Startseite > Termine > Kolloquiumsvortrag Mathematik: A short introduction to set optimization

Prof. Dr. Gabriele Eichfelder, TU Ilmenau

24. November 2016, 16:30 Uhr, Universität Bayreuth, Hörsaal H 19

(Kaffee und Tee ab 16:00 Uhr in Raum 748 des Instituts für Mathematik)

 

Abstract:
This talk gives a short introduction to multiobjective and set optimization and to the different possibilities to define optimal solutions for such problems.
We start with a special set optimization problem which arises in case of a robust approach to decision uncertainty in optimization. This occurs when values of decision variables cannot be put into practice exactly. Then, for each feasible point, we have to consider the set of all of its possible realizations. Thus, one has to compare sets instead of points. These sets may just be intervals in case of a scalar-valued objective function, or may have a more complicated structure in case the decision uncertainty appears in a multiobjective optimization problem. We define optimality for such problems and we discuss how these special concepts are related to optimality notions in set optimization. We also give an overview over related concepts in set optimization based on different set relations and discuss their practical relevance. First approaches to determine solutions of such problems are also presented.

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Koordination des Gesamtprojekts und
Projektleitung an der Universität Bayreuth

Prof. Dr. Volker Ulm
Universität Bayreuth
Lehrstuhl für Mathematik und ihre Didaktik
Universitätsstraße 30
95447 Bayreuth

Telefon: 0921/55-3267
E-Mail: volker.ulm@uni-bayreuth.de

 

Projektleitung an der Universität Würzburg

Prof. Dr. Thomas Trefzger
Universität Würzburg
Lehrstuhl für Physik und ihre Didaktik
Emil-Hilb-Weg 22
97074 Würzburg

Telefon: 0931/31-85787
E-Mail: trefzger@physik.uni-wuerzburg.de

 

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