A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets

G. Rudolph, O. Schütze, C. Grimme, H. Trautmann, in: A. Tantar, E. Tantar, J. Sun, W. Zhang, Q. Ding, O. Schütze, M. Emmerich, P. Legrand, M.P. Del, C.C. Coello (Eds.), EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V, Springer International Publishing, 2014, pp. 261–273.

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Book Chapter | English
Author
Rudolph, G; Schütze, O; Grimme, C; Trautmann, HeikeLibreCat
Book Editor
Tantar, A; Tantar, E; Sun, J; Zhang, W; Ding, Q; Schütze, O; Emmerich, M; Legrand, P; Del, Moral P; Coello, Coello CA
Abstract
The incorporation of expert knowledge into multiobjective optimization is an important issue which in this paper is reflected in terms of an aspiration set consisting of multiple reference points. The behaviour of the recently introduced evolutionary multiobjective algorithm AS-EMOA is analysed in detail and comparatively studied for bi-objective optimization problems w.r.t. R-NSGA2 and a respective variant. It will be shown that the averaged Hausdorff distance, integrated into AS-EMOA, is an efficient means to accurately approximate the desired aspiration set.
Publishing Year
Book Title
EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V
Series Title / Volume
Advances in Intelligent Systems and Computing
Volume
288
Page
261–273
LibreCat-ID

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Rudolph G, Schütze O, Grimme C, Trautmann H. A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets. In: Tantar A, Tantar E, Sun J, et al., eds. EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V. Vol 288. Advances in Intelligent Systems and Computing. Springer International Publishing; 2014:261–273. doi:10.1007/978-3-319-07494-8_18
Rudolph, G., Schütze, O., Grimme, C., & Trautmann, H. (2014). A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets. In A. Tantar, E. Tantar, J. Sun, W. Zhang, Q. Ding, O. Schütze, M. Emmerich, P. Legrand, M. P. Del, & C. C. Coello (Eds.), EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V (Vol. 288, pp. 261–273). Springer International Publishing. https://doi.org/10.1007/978-3-319-07494-8_18
@inbook{Rudolph_Schütze_Grimme_Trautmann_2014, series={Advances in Intelligent Systems and Computing}, title={A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets}, volume={288}, DOI={10.1007/978-3-319-07494-8_18}, booktitle={EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V}, publisher={Springer International Publishing}, author={Rudolph, G and Schütze, O and Grimme, C and Trautmann, Heike}, editor={Tantar, A and Tantar, E and Sun, J and Zhang, W and Ding, Q and Schütze, O and Emmerich, M and Legrand, P and Del, Moral P and Coello, Coello CA}, year={2014}, pages={261–273}, collection={Advances in Intelligent Systems and Computing} }
Rudolph, G, O Schütze, C Grimme, and Heike Trautmann. “A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets.” In EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V, edited by A Tantar, E Tantar, J Sun, W Zhang, Q Ding, O Schütze, M Emmerich, P Legrand, Moral P Del, and Coello CA Coello, 288:261–273. Advances in Intelligent Systems and Computing. Springer International Publishing, 2014. https://doi.org/10.1007/978-3-319-07494-8_18.
G. Rudolph, O. Schütze, C. Grimme, and H. Trautmann, “A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets,” in EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V, vol. 288, A. Tantar, E. Tantar, J. Sun, W. Zhang, Q. Ding, O. Schütze, M. Emmerich, P. Legrand, M. P. Del, and C. C. Coello, Eds. Springer International Publishing, 2014, pp. 261–273.
Rudolph, G., et al. “A Multiobjective Evolutionary Algorithm Guided by Averaged Hausdorff Distance to Aspiration Sets.” EVOLVE — A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation V, edited by A Tantar et al., vol. 288, Springer International Publishing, 2014, pp. 261–273, doi:10.1007/978-3-319-07494-8_18.

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