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Vector optimization problems and approximated vector optimization problems

Journal of Numerical Analysis and Approximation Theory, 2010
In this paper, a so-called approximated vector optimization problem associated to a vector optimization problem is considered. The equivalence between the efficient solutions of the approximated vector optimization problem and efficient solutions of the ...
Eugenia Duca, Dorel I. Duca
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Fully Piecewise Linear Vector Optimization Problems

Journal of Optimization Theory and Applications, 2021
We distinguish two kinds of piecewise linear functions and provide an interesting representation for a piecewise linear function between two normed spaces. Based on such a representation, we study a fully piecewise linear vector optimization (PLP) with the objective and constraint functions being piecewise linear.
Xi Yin Zheng, Xiaoqi Yang
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Multi-material topology optimization based on symmetric level set function using the material definition with perfect symmetric property

Nihon Kikai Gakkai ronbunshu, 2021
This paper provides a vector-valued level set-based topology optimization method for multiple materials. The proposed method is characterized by a perfectly symmetric representation of multi-material by a vector valued level set function, which lowers ...
Masaki NODA, Yuki NOGUCHI, Takayuki YAMADA   +2 more
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Stability kernel of vector optimization problems under perturbations of criterion functions

Доповiдi Нацiональної академiї наук України, 2021
The article is devoted to the study of the influence of uncertainty in initial data on the solutions of optimization multicriterial problems. In the optimization problems, including problems with vector criterion, small perturbations in initial data can
Т.Т. Lebedeva, N.V. Semenova, T.I. Sergienko   +2 more
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Hierarchical Population Game Models of Coevolution in Multi-Criteria Optimization Problems under Uncertainty

Applied Sciences, 2021
The article develops hierarchical population game models of co-evolutionary algorithms for solving the problem of multi-criteria optimization under uncertainty.
Vladimir A. Serov
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New Class of K-G-Type Symmetric Second Order Vector Optimization Problem

Axioms, 2023
In this paper, we present meanings of K-Gf-bonvexity/K-Gf-pseudobonvexity and their generalization between the above-notice functions. We also construct various concrete non-trivial examples for existing these types of functions.
Chetan Swarup, Ramesh Kumar, Ramu Dubey, Dowlath Fathima   +3 more
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Connectedness and Path Connectedness of Weak Efficient Solution Sets of Vector Optimization Problems via Nonlinear Scalarization Methods

Mathematics, 2019
The connectedness and path connectedness of the solution sets to vector optimization problems is an important and interesting study in optimization theories and applications.
Xin Xu, Yang Dong Xu
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Robust balanced optimization

EURO Journal on Computational Optimization, 2018
An instance of a balanced optimization problem with vector costs consists of a ground set X, a cost-vector for every element of X, and a system of feasible subsets over X.
AnnetteM.C. Ficker, FritsC.R. Spieksma, GerhardJ. Woeginger   +2 more
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Shape Optimum Design by Basis Vector Method Considering Partial Shape Dependence

Applied Sciences, 2020
Regarding the case of complicated structural shape optimization, there are cases where there are partial shapes such as holes and irregularities inside the structure.
Qiong Wu, Hairui Zhang, Wei Zhao, Xilu Zhao   +3 more
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Topological aspects in vector optimization problems

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009
In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
P. I. Kogut, R. Manzo, I. V. Nechay
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