Comparing solutions under uncertainty in multiobjective optimization
type: Item
instance of: scholarly article
title: Comparing solutions under uncertainty in multiobjective optimization
zbMATH Open document ID: 1407.90299
DOI: 10.1155/2014/817964
author: Miha Mlakar
author: Tea Tušar
author: Bogdan Filipič
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Due to various reasons the solutions in real-world optimization problems cannot always be exactly evaluated but are sometimes represented with approximated values and confidence intervals. In order to address this issue, the comparison of solutions has to be done differently than for exactly evaluated solutions. In this paper, we define new relations under uncertainty between solutions in multiobjective optimization that are represented with approximated values and confidence intervals. The new relations extend the Pareto dominance relations, can handle constraints, and can be used to compare solutions, both with and without the confidence interval. We also show that by including confidence intervals into the comparisons, the possibility of incorrect comparisons, due to inaccurate approximations, is reduced. Without considering confidence intervals, the comparison of inaccurately approximated solutions can result in the promising solutions being rejected and the worse ones preserved. The effect of new relations in the comparison of solutions in a multiobjective optimization algorithm is also demonstrated.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 7017335
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/817964
OpenAlex ID: W2015135818
Wikidata QID: Q59069561
cites work: Multi-objective optimization using evolutionary algorithms
cites work: Hybridization of a multi-objective genetic algorithm, a neural network and a classical optimizer for a complex design problem in fluid dynamics
cites work: Q3394879
description: scientific article; zbMATH DE number 7017335