pareto set

Decision space decomposition for multiobjective optimization

  • Emma Soriano
  • Margaret Wiecek
  • Mishko Mitkovski
    • Categories Multi-Criteria Optimization Tags , , , ,

    Being inspired by the parametric decomposition theorem for multiobjective optimization problems (MOPs) of Cuenca Mira and Miguel García (2017), and by the block-coordinate descent for single objective optimization problems, we present a decomposition theorem for computing the set of minimal elements of a partially ordered set. This set is decomposed into subsets whose minimal elements … Read more

    Comparison Between NSGA-II and MOEA/D on a Set of Multiobjective Optimization Problems with Complicated Pareto Sets

  • Hui Li
  • Qingfu Zhang
    • Categories Multi-Criteria Optimization Tags , ,

    Partly due to lack of test problems, the impact of the Pareto set (PS) shapes on the performance of evolutionary algorithms has not yet attracted much attention. This paper introduces a general class of continuous multiobjective optimization test instances with arbitrary prescribed PS shapes, which could be used for studying the ability of MOEAs for … Read more