Optimal elements in vector optimization with a variable ordering structure
G Eichfelder - Journal of Optimization Theory and Applications, 2011 - Springer
Optimality concepts for vector optimization problems with a variable ordering structure are
examined. These considerations are motivated by an application in medical image …
examined. These considerations are motivated by an application in medical image …
Extended Newton methods for multiobjective optimization: majorizing function technique and convergence analysis
We consider the extended Newton method for approaching a Pareto optimum of a
multiobjective optimization problem, establish quadratic convergence criteria, and estimate …
multiobjective optimization problem, establish quadratic convergence criteria, and estimate …
[HTML][HTML] Twenty years of continuous multiobjective optimization in the twenty-first century
G Eichfelder - EURO Journal on Computational Optimization, 2021 - Elsevier
The survey highlights some of the research topics which have attracted attention in the last
two decades within the area of mathematical optimization of multiple objective functions. We …
two decades within the area of mathematical optimization of multiple objective functions. We …
Optimality conditions for vector optimization problems with variable ordering structures
Our main concern in this article are concepts of nondominatedness wrt a variable ordering
structure introduced by Yu [PL Yu, Cone convexity, cone extreme points, and nondominated …
structure introduced by Yu [PL Yu, Cone convexity, cone extreme points, and nondominated …
Continuous multiobjective programming
We present our view of the state of the art in continuous multiobjective programming. After
an introduction we formulate the multiobjective program (MOP) and define the most …
an introduction we formulate the multiobjective program (MOP) and define the most …
An interactive evolutionary multi-objective optimization algorithm with a limited number of decision maker calls
This paper presents a preference-based method to handle optimization problems with
multiple objectives. With an increase in the number of objectives the computational cost in …
multiple objectives. With an increase in the number of objectives the computational cost in …
Robust multiobjective optimization for decision making under uncertainty and conflict
MM Wiecek, GM Dranichak - Optimization challenges in …, 2016 - pubsonline.informs.org
Many real-life problems in engineering, business, and management are characterized by
multiple, conflicting objectives, as well as the presence of uncertainty. The conflicting criteria …
multiple, conflicting objectives, as well as the presence of uncertainty. The conflicting criteria …
Variable ordering structures in vector optimization
G Eichfelder - Recent Developments in Vector Optimization, 2011 - Springer
In vector optimization one assumes in general that a partial ordering is given by some
nontrivial convex cone K in the considered space Y. But already in 1974 in one of the first …
nontrivial convex cone K in the considered space Y. But already in 1974 in one of the first …
Linear convergence of a nonmonotone projected gradient method for multiobjective optimization
X Zhao, JC Yao - Journal of Global Optimization, 2022 - Springer
We consider a projected gradient method equipped with the nonmonotone line search
procedure for convex constrained multiobjective optimization problems. Under mild …
procedure for convex constrained multiobjective optimization problems. Under mild …
Properly optimal elements in vector optimization with variable ordering structures
In this paper, proper optimality concepts in vector optimization with variable ordering
structures are introduced for the first time and characterization results via scalarizations are …
structures are introduced for the first time and characterization results via scalarizations are …