---
_id: '46387'
abstract:
- lang: eng
  text: Here we address the problem of computing finite size Hausdorff approximations
    of the Pareto front of four-objective optimization problems by means of evolutionary
    computing. Since many applications desire an approximation evenly spread along
    the Pareto front and approximations that are good in the Hausdorff sense are typically
    evenly spread along the Pareto front we consider three different evolutionary
    multi-objective algorithms tailored to that purpose, where two of them are based
    on the Part and Selection Algorithm (PSA). Finally, we present some numerical
    results indicating the strength of the novel methods.
author:
- first_name: C
  full_name: Dominguez-Medina, C
  last_name: Dominguez-Medina
- first_name: G
  full_name: Rudolph, G
  last_name: Rudolph
- first_name: O
  full_name: Schütze, O
  last_name: Schütze
- first_name: Heike
  full_name: Trautmann, Heike
  id: '100740'
  last_name: Trautmann
  orcid: 0000-0002-9788-8282
citation:
  ama: 'Dominguez-Medina C, Rudolph G, Schütze O, Trautmann H. Evenly spaced Pareto
    fronts of quad-objective problems using PSA partitioning technique. In: <i>Proceedings
    of the 2013 IEEE Congress on Evolutionary Computation (CEC)</i>. ; 2013:3190–3197.
    doi:<a href="https://doi.org/10.1109/CEC.2013.6557960">https://doi.org/10.1109/CEC.2013.6557960</a>'
  apa: Dominguez-Medina, C., Rudolph, G., Schütze, O., &#38; Trautmann, H. (2013).
    Evenly spaced Pareto fronts of quad-objective problems using PSA partitioning
    technique. <i>Proceedings of the 2013 IEEE Congress on Evolutionary Computation
    (CEC)</i>, 3190–3197. <a href="https://doi.org/10.1109/CEC.2013.6557960">https://doi.org/10.1109/CEC.2013.6557960</a>
  bibtex: '@inproceedings{Dominguez-Medina_Rudolph_Schütze_Trautmann_2013, place={Cancun,
    Mexico}, title={Evenly spaced Pareto fronts of quad-objective problems using PSA
    partitioning technique}, DOI={<a href="https://doi.org/10.1109/CEC.2013.6557960">https://doi.org/10.1109/CEC.2013.6557960</a>},
    booktitle={Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC)},
    author={Dominguez-Medina, C and Rudolph, G and Schütze, O and Trautmann, Heike},
    year={2013}, pages={3190–3197} }'
  chicago: Dominguez-Medina, C, G Rudolph, O Schütze, and Heike Trautmann. “Evenly
    Spaced Pareto Fronts of Quad-Objective Problems Using PSA Partitioning Technique.”
    In <i>Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC)</i>,
    3190–3197. Cancun, Mexico, 2013. <a href="https://doi.org/10.1109/CEC.2013.6557960">https://doi.org/10.1109/CEC.2013.6557960</a>.
  ieee: 'C. Dominguez-Medina, G. Rudolph, O. Schütze, and H. Trautmann, “Evenly spaced
    Pareto fronts of quad-objective problems using PSA partitioning technique,” in
    <i>Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC)</i>,
    2013, pp. 3190–3197, doi: <a href="https://doi.org/10.1109/CEC.2013.6557960">https://doi.org/10.1109/CEC.2013.6557960</a>.'
  mla: Dominguez-Medina, C., et al. “Evenly Spaced Pareto Fronts of Quad-Objective
    Problems Using PSA Partitioning Technique.” <i>Proceedings of the 2013 IEEE Congress
    on Evolutionary Computation (CEC)</i>, 2013, pp. 3190–3197, doi:<a href="https://doi.org/10.1109/CEC.2013.6557960">https://doi.org/10.1109/CEC.2013.6557960</a>.
  short: 'C. Dominguez-Medina, G. Rudolph, O. Schütze, H. Trautmann, in: Proceedings
    of the 2013 IEEE Congress on Evolutionary Computation (CEC), Cancun, Mexico, 2013,
    pp. 3190–3197.'
date_created: 2023-08-04T15:40:15Z
date_updated: 2023-10-16T13:45:34Z
department:
- _id: '34'
- _id: '819'
doi: https://doi.org/10.1109/CEC.2013.6557960
language:
- iso: eng
page: 3190–3197
place: Cancun, Mexico
publication: Proceedings of the 2013 IEEE Congress on Evolutionary Computation (CEC)
status: public
title: Evenly spaced Pareto fronts of quad-objective problems using PSA partitioning
  technique
type: conference
user_id: '15504'
year: '2013'
...