Abstract
We propose an evolutionary multiobjective algorithm that approximates multiple reference points (the aspiration set) in a single run using the concept of the averaged Hausdorff distance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Deb, K., Sundar, J.: Reference point based multi-objective optimization using evolutionary algorithms. In: Proceedings of the Conference on Genetic and Evolutionary Computation (GECCO 2006), pp. 635–642. ACM Press (2006)
Dominguez-Medina, C., Rudolph, G., Schütze, O., Trautmann, H.: Evenly spaced pareto fronts of quad-objective problems using PSA partitioning technique. In: Proceedings of 2013 IEEE Congress on Evolutionary Computation (CEC 2013), pp. 3190–3197. IEEE Press, Piscataway (2013)
Figueira, J., Liefooghe, A., Talbi, E.G., Wierzbicki, A.: A parallel multiple reference point approach for multi-objective optimization. Eur. J. Oper. Res. 205(2), 390–400 (2010)
Gerstl, K., Rudolph, G., Schütze, O., Trautmann, H.: Finding evenly spaced fronts for multiobjective control via averaging Hausdorff-measure. In: Proceedings of 8th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), pp. 1–6. IEEE Press (2011)
Rudolph, G., Trautmann, H., Sengupta, S., Schütze, O.: Evenly spaced pareto front approximations for tricriteria problems based on triangulation. In: Purshouse, R.C., Fleming, P.J., Fonseca, C.M., Greco, S., Shaw, J. (eds.) EMO 2013. LNCS, vol. 7811, pp. 443–458. Springer, Heidelberg (2013)
Schütze, O., Esquivel, X., Lara, A., Coello Coello, C.A.: Using the averaged Hausdorff distance as a performance measure in evolutionary multi-objective optimization. IEEE Trans. Evol. Comput. 16(4), 504–522 (2012)
Trautmann, H., Rudolph, G., Dominguez-Medina, C., Schütze, O.: Finding evenly spaced pareto fronts for three-objective optimization problems. In: Schütze, O., et al. (eds.) EVOLVE - A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation II (Proceedings), pp. 89–105. Springer, Heidelberg (2013)
Wierzbicki, A.: The use of reference objectives in multiobjective optimization. In: Fandel, G., Gal, T. (eds.) Multiple Objective Decision Making, Theory and Application, pp. 468–486. Springer, Heidelberg (1980)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Rudolph, G., Schütze, O., Grimme, C., Trautmann, H. (2014). An Aspiration Set EMOA Based on Averaged Hausdorff Distances. In: Pardalos, P., Resende, M., Vogiatzis, C., Walteros, J. (eds) Learning and Intelligent Optimization. LION 2014. Lecture Notes in Computer Science(), vol 8426. Springer, Cham. https://doi.org/10.1007/978-3-319-09584-4_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-09584-4_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09583-7
Online ISBN: 978-3-319-09584-4
eBook Packages: Computer ScienceComputer Science (R0)