The multiple multi objective problem: definition, solution and evaluation

  • Authors:
  • Wolfgang Ponweiser;Markus Vincze

  • Affiliations:
  • Vienna University of Technology, Automation and Control Institute, Vienna, Austria;Vienna University of Technology, Automation and Control Institute, Vienna, Austria

  • Venue:
  • EMO'07 Proceedings of the 4th international conference on Evolutionary multi-criterion optimization
  • Year:
  • 2007

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Abstract

Considering external parameters during any evaluation leads to an optimization problem which has to handle several concurrent multi objective problems at once. This novel challenge, the Multiple Multi Objective Problem M-MOP, is defined and analyzed. Guidelines and metrics for the development of M-MOP optimizers are generated and exemplary demonstrated at an extended version of Deb's NSGA-II algorithm. The relationship to the classical MOPs is highlighted and the usage of performance metrics for the M-MOP is discussed. Due to the increased number of dimensions the M-MOP represents a complex optimization task that should be settled in the optimization community.