Visualization of Pareto-Sets in Evolutionary Multi-Objective Optimization

  • Authors:
  • Mario Koppen;Kaori Yoshida

  • Affiliations:
  • Kyushu Institute of Technology, Japan;Kyushu Institute of Technology, Japan

  • Venue:
  • HIS '07 Proceedings of the 7th International Conference on Hybrid Intelligent Systems
  • Year:
  • 2007

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Abstract

In this paper, a method for the visualization of the population of an evolutionary multi-objective optimization (EMO) algorithm is presented. The main characteristic of this approach is the preservation of Paretodominance relations among the individuals as good as possible. It will be shown that in general, a Paretodominance preserving mapping from higher- to lowerdimensional spaces does not exist. Thus, the demand is to find a mapping with as few wrongly indicated dominance relations as possible, which gives one more objective in addition to other mapping objectives like preserving nearest neighbor relations. Therefore, such a mapping poses a multi-objective optimization problem by itself, which is also handled by an EMO algorithm (NSGA-II in this case). The resulting mappings are shown for the run of a NSGA-II version on the 15 objective DTLZ2 problem as an example. From such plots, some insights into evolutionary dynamics can be obtained.