Interactive Multiobjective Robust Optimization with NIMBUS

  • Yue Zhou-KangasEmail author
  • Kaisa Miettinen
  • Karthik Sindhya
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 889)


In this paper, we introduce the MuRO-NIMBUS method for solving multiobjective optimization problems with uncertain parameters. The concept of set-based minmax robust Pareto optimality is utilized to tackle the uncertainty in the problems. We separate the solution process into two stages: the pre-decision making stage and the decision making stage. We consider the decision maker’s preferences in the nominal case, i.e., with the most typical or undisturbed values of the uncertain parameters. At the same time, the decision maker is informed about the objective function values in the worst case to support her/him to make an informed decision. To help the decision maker to understand the behaviors of the solutions, we visually present the objective function values. As a result, the decision maker can find a preferred balance between robustness and objective function values under the nominal case.


Multiple criteria decision making Uncertainty Robustness Interactive methods Robust Pareto optimality 


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Yue Zhou-Kangas
    • 1
    Email author
  • Kaisa Miettinen
    • 1
  • Karthik Sindhya
    • 1
  1. 1.University of Jyvaskyla, Faculty of Information TechnologyUniversity of JyvaskylaFinland

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