https://orcid.org/0000-0002-1938-6316
References
- Khan AA, Tammer C, Zălinescu C. Set-valued optimization. Springer; 2015. doi:10.1007/978-3-642-54265-7.
- Eichfelder G, Niebling J, Rocktäschel S. An algorithmic approach to multiobjective optimization with decision uncertainty. J Glob Optim. 2020;77(1):3–25.
- Pilecka M. Set-valued optimization and its application to bilevel optimization [PhD thesis]. Technische Universität Bergakademie Freiberg; 2016.
- Stein O. Bi-level strategies in semi-infinite programming. Springer Science & Business Media; 2013. doi:10.1007/978-1-4419-9164-5.
- Jahn J, Ha TXD. New order relations in set optimization. J Optim Theory Appl. 2011;148(2):209–236.
- Kuroiwa D. The natural criteria in set-valued optimization (nonlinear analysis and convex analysis); 1998. http://hdl.handle.net/2433/61857.
- Schrage C, Löhne A. An algorithm to solve polyhedral convex set optimization problems. Optimization. 2013;62(1):131–141.
- Jahn J. A derivative-free descent method in set optimization. Comput Optim Appl. 2015;60(2):393–411.
- Jahn J. Vectorization in set optimization. J Optim Theory Appl. 2015;167(3):783–795.
- Köbis E, Köbis MA. Treatment of set order relations by means of a nonlinear scalarization functional: a full characterization. Optimization. 2016;65(10):1805–1827.
- Günther C, Köbis E, Popovici N. Computing minimal elements of finite families of sets w.r.t. preorder relations in set optimization. J Appl Numer Optim. 2019;1(2):131–144.
- Jahn J. Vector optimization: theory, applications, and extensions; 2011. doi:10.1007/978-3-642-17005-8.
- Engau A, Wiecek MM. Generating ε-efficient solutions in multiobjective programming. Eur J Oper Res. 2007;177(3):1566–1579.
- Eichfelder G, Krüger C, Schöbel A. Decision uncertainty in multiobjective optimization. J Glob Optim. 2017;69(2):485–510.
- Zhang W, Li S, Teo KL. Well-posedness for set optimization problems. Nonlinear Anal: Theory Methods Appl. 2009;71(9):3769–3778.
- Dhingra M, Lalitha CS. Approximate solutions and scalarization in set-valued optimization. Optimization. 2017;66(11):1793–1805.
- Baier R, Eichfelder G, Gerlach T. Optimality conditions for set optimization using a directional derivative based on generalized steiner sets. Optimization. 2020. doi:10.1080/02331934.2020.1812605.
- Bank B, Guddat J, Klatte D, etal. Non-linear parametric optimization. Springer; 1982. doi:10.1007/978-3-0348-6328-5.
- Reuter H. An approximation method for the efficiency set of multiobjective programming problems. Optimization. 1990;21(6):905–911.
- Teichert K. A hyperboxing Pareto approximation method applied to radiofrequency ablation treatment planning [PhD thesis]. 2014.
- Hernández E, Rodríguez-Marín L. Existence theorems for set optimization problems. Nonlinear Anal: Theory Methods Appl. 2007;67(6):1726–1736.
- Benson HP. Concave minimization: theory, applications and algorithms. In Handbook of global optimization. Springer; 1995. p. 43–148. doi:10.1007/978-1-4615-2025-2_3.
- Khan AA, Köbis E, Tammer C. Variational analysis and set optimization: developments and applications in decision making. CRC Press; 2019. doi:10.1201/b22166.