Visualizing the Pareto Frontier

Authors:
Alexander V. Lotov;Kaisa Miettinen
Affiliations:
Dorodnicyn Computing Centre of Russian Academy of Sciences, Moscow, Russia 119333;Department of Mathematical Information Technology, University of Jyväskylä, Finland FI-40014
Venue:
Multiobjective Optimization
Year:
2008

Citing 17
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Abstract

We describe techniques for visualizing the Pareto optimal set that can be used if the multiobjective optimization problem considered has more than two objective functions. The techniques discussed can be applied in the framework of both MCDM and EMO approaches. First, lessons learned from methods developed for biobjective problems are considered. Then, visualization techniques for convex multiobjective optimization problems based on a polyhedral approximation of the Pareto optimal set are discussed. Finally, some visualization techniques are considered that use a pointwise approximation of the Pareto optimal set.