The Hypervolume Indicator Revisited: On the Design of Pareto-compliant Indicators Via Weighted Integration

@inproceedings{Zitzler2006TheHI,
  title={The Hypervolume Indicator Revisited: On the Design of Pareto-compliant Indicators Via Weighted Integration},
  author={Eckart Zitzler and Dimo Brockhoff and Lothar Thiele},
  booktitle={EMO},
  year={2006}
}
The design of quality measures for approximations of the Pareto-optimal set is of high importance not only for the performance assessment, but also for the construction of multiobjective optimizers. Various measures have been proposed in the literature with the intention to capture different preferences of the decision maker. A quality measure that possesses a highly desirable feature is the hypervolume measure: whenever one approximation completely dominates another approximation, the… CONTINUE READING

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