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Approximation and Visualization of Pareto Frontier in the Framework of Classical Approach to Multi-Objective Optimization

Authors: Alexander Lotov

Published in: Dagstuhl Seminar Proceedings, Volume 4461, Practical Approaches to Multi-Objective Optimization (2005)


Abstract
This paper is devoted to a Pareto frontier generation technique, which is aimed at subsequent visualization of the Pareto frontier in an interaction with the user. This technique known as the Interactive Decision Maps technique was initiated about 30 years ago. Now it is applied for decision support in both convex and non-convex decision problems in various fields, from machinery design to environmental planning. The number of conflicting criteria explored with the help of the Interactive Decision Maps technique is usually between three and seven, but some users manage to apply the technique in the case of a larger number of criteria. Here we outline the main ideas of the technique, concentrating at nonlinear problems.

Cite as

Alexander Lotov. Approximation and Visualization of Pareto Frontier in the Framework of Classical Approach to Multi-Objective Optimization. In Practical Approaches to Multi-Objective Optimization. Dagstuhl Seminar Proceedings, Volume 4461, pp. 1-17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)


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@InProceedings{lotov:DagSemProc.04461.8,
  author =	{Lotov, Alexander},
  title =	{{Approximation and Visualization of Pareto Frontier in the Framework of Classical Approach to Multi-Objective Optimization}},
  booktitle =	{Practical Approaches to Multi-Objective Optimization},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4461},
  editor =	{J\"{u}rgen Branke and Kalyanmoy Deb and Kaisa Miettinen and Ralph E. Steuer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04461.8},
  URN =		{urn:nbn:de:0030-drops-2357},
  doi =		{10.4230/DagSemProc.04461.8},
  annote =	{Keywords: Multi-objective optimization, Pareto frontier, visualization}
}
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