Browsing NTNU Open by Author "Köbis, Elisabeth Anna Sophia"
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Approximate elements for set optimization problems with respect to variable domination structures
Köbis, Elisabeth Anna Sophia; Köbis, Markus Arthur (Peer reviewed; Journal article, 2022)We consider set optimization problems governed by the upper set less relation introduced by Kuroiwa. We extend some known results from the literature to a setting that includes (a) variable domination structures and (b) ... -
Convexificators for nonconvex multiobjective optimization problems with uncertain data: robust optimality and duality
Chen, Jiawei; Yang, Ruixi; Köbis, Elisabeth Anna Sophia; Ou, Xiaoqing (Peer reviewed; Journal article, 2023)In this paper, we investigate robust optimality conditions and duality for a class of nonconvex multiobjective optimization problems with uncertain data in the worst case by the upper semi-regular convexificator. The Fermat ... -
A FIRST BIBLIOGRAPHY ON SET AND VECTOR OPTIMIZATION PROBLEMS WITH RESPECT TO VARIABLE DOMINATION STRUCTURES
Köbis, Elisabeth Anna Sophia; Köbis, Markus Arthur; Tammer, Christiane (Journal article; Peer reviewed, 2022)This bibliography lists 107 papers dealing with variable domination structures in vector and set optimization, and its applications and numerics. A classification is given in terms of different sub-branches where variable ... -
The generic stability of solutions for vector quasi-equilibrium problems on Hadamard manifolds
Hung, Nguyen Van; Dai, Le Xuan; Köbis, Elisabeth Anna Sophia; Yao, Jen-Chih (Peer reviewed; Journal article, 2020)In this paper, we first revisit two classes of set-valued vector quasi-equilibrium problems on Hadamard manifolds with established existence conditions of solutions in [9]. Then, we establish generic stability of set-valued ... -
Globally proper efficiency of set optimization problems based on the certainly set less order relation
Zhou, Zhiang; Huang, Ming; Köbis, Elisabeth Anna Sophia (Peer reviewed; Journal article, 2023)In this paper, we investigate the globally proper efficiency of set optimization problems. Firstly, we use the so-called certainly set less order relation to define a new kind of set order relation. Based on the new set ... -
Methods in Uncertain Multi-Objective Optimization
Rønold, Axel Henæs (Master thesis, 2021)Vi starter oppgaven med å diskutere konsepter for effektivitet for multi-objektive optimaliseringsproblemer med usikkerhet ved å bruke forskjellige ordrerelasjoner for sett. Til sammen diskuterer vi fire forskjellige ... -
Multicriteria optimization problems
Engmark, Åmund (Bachelor thesis, 2021)In this bachelor thesis, we will consider various themes in multiobjective optimization. In particular, we will look at some optimality notions, existence results, scalarization results, and some problems in uncertain ... -
Optimality conditions in optimization under uncertainty
Köbis, Elisabeth Anna Sophia; Tammer, Christiane (Peer reviewed; Journal article, 2023)Most optimization problems involve uncertain data due to measurement errors, unknown future developments, and modeling approximations. In this paper, we consider scalar optimization problems under uncertainty with infinite ... -
Robust duality and saddle point characterizations for nonconvex multiobjective optimization with data uncertainty
Chen, Jiawei; Yang, Ruixi; Köbis, Elisabeth Anna Sophia; Zhang, Tao (Journal article, 2023)This paper is devoted to investigate the robust duality and saddle point characterizations of nonconvex multiobjective optimization with data uncertainty in both the objective and constraints. Based on the robust necessary ... -
A scalarization scheme for binary relations with applications to set-valued and robust optimization
Gutiérrez, César; Huerga, Lidia; Köbis, Elisabeth Anna Sophia; Tammer, Christiane (Peer reviewed; Journal article, 2020)In this paper, a method for scalarizing optimization problems whose final space is endowed with a binary relation is stated without assuming any additional hypothesis on the data of the problem. By this approach, nondominated ... -
Some new and general versions of q-Hermite-Hadamard-Mercer inequalities
Ali, Muhammad Amir; Budak, Hüseyin Budak; Köbis, Elisabeth Anna Sophia (Journal article, 2023)In this paper, we establish two new different and general variants of q-Hermite–HadamardMercer inequalities by using the newly defined q-integrals. The main edge of these inequalities is that they can be converted into ... -
The Mass Relocation Problem with Uncertainty: A Robust Approach to the Optimization of a Real-World Road Construction Site
Johnsen, Ella Frederika (Master thesis, 2021)Ved å effektivisere driften kan et veibyggingsselskap potensielt spare mye tid og ressurser. Det er derfor interessant å undersøke alternativer for hvordan de burde rute kjøretøyene sine. Denne masteroppgaven tar sikte på ... -
Vectorial penalisation in vector optimisation in real linear-topological spaces
Günther, Christian; Köbis, Elisabeth Anna Sophia; Schmoelling, Paul; Tammer, Christiane (Peer reviewed; Journal article, 2023)The aim of this paper is to present a vectorial penalisation approach for vector optimisation problems in which the vector-valued objective function acts between real linear-topological spaces X and Y, where the image space ... -
The Weighted Set Relation: Characterizations in the Convex Case
Köbis, Elisabeth Anna Sophia; Köbis, Markus Arthur (Peer reviewed; Journal article, 2021)Optimization of set-valued mappings has become an important subbranch of optimization. In set optimization, one of the main tools to compare sets is given by set relations, which are binary relations among sets. The main ...