Abstract
Set-based evolutionary optimization based on the performance indicators is one of the effective methods to solve many-objective optimization problems; however, previous researches didn’t make full use of the preference information of a high-dimensional objective space to guide the evolution of a population. In this study, we propose a set-based many-objective evolutionary optimization algorithm guided by preferred regions. In the mode of set-based evolution, the proposed method dynamically determines a preferred region of the high-dimensional objective space, designs a selection strategy on sets by combining Pareto dominance relation on sets with the above preferred region, and develops a crossover operator on sets guided by the above preferred region to produce a Pareto front with superior performance. The proposed method is applied to four benchmark many-objective optimization problems, and the experimental results empirically demonstrate its effectiveness.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Deb, K., Jain, H.: An Improved NSGA-II Procedure for Many-objective Optimization, Part I: Solving Problems with Box Constraints. KanGAL Report (2012)
Deb, K., Prata, P.A., Agarwal, S.: A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 2(6), 182–197 (2002)
Reyes-Sierra, M., Coello, C.C.: Multi-objective particle swarm optimizers: a survey of the state-of-the-art. Int. J. Comput. Intell. Res. 2(3), 287–308 (2006)
Sato, H., Aguirre, H.E., Tanaka, K.: Controlling dominance area of solutions and its impact on the performance of MOEAs. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 5–20. Springer, Heidelberg (2007)
Deb, K., Saxena, D.K.: On Finding Pareto-optimal Solutions through Dimensionality Reduction for Certain Large-dimensional Multi-objective Optimization Problems. KanGAL Report (2005)
Deb, K., Saxena, D.: Searching for pareto-optimal solutions through dimensionality reduction for certain large-dimensional multi-objective optimization problems. In: Proceedings of the World Congress on Computational Intelligence (2006)
Zhang, Q.F., Li, H.: MOEA/D: a multi-objective evolutionary algorithm based on decomposition. IEEE Trans. Evol. Comput. 11(6), 712–731 (2007)
Gong, D., Ji, X.: Solving many-objective optimization problems using set-based evolutionary algorithm. Chin. J. Electron. 42(1), 77–83 (2014)
Zitzler, E., Thiele, L., Bader, J.: On set-based multi-objective optimization. IEEE Trans. Evol. Comput. 14(1), 58–79 (2010)
Bader, J., Brockhoff, D., Welten, S., Zitzler, E.: On using populations of sets in multiobjective optimization. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 140–154. Springer, Heidelberg (2009)
Gong, D., Ji, X., Sun, J.: Interactive evolutionary algorithms with decision-maker’s preferences for solving interval multi-objective optimization problems. Neurocomputing 137, 241–251 (2014)
Yang, D., Jiao, L., Gong, M., Yu, H.: Clone selection algorithm to solve preference multi-objective optimization. J. Softw. 21(1), 14–33 (2010)
Liu, R., Wang, X., Liu, J.: A preference multi-objective optimization based on adaptive rank clone and differential evolution. Nat. Comput. 12(1), 109–132 (2013)
Ehrgott, M.: Multicriteria optimization. Springer Science and Business Media (2006)
López-Jaimes, A., CoelloCoello, C.A.: Including preferences into a multi-objective evolutionary algorithm to deal with many-objective engineering optimization problems. Inf. Sci. 277, 1–20 (2014)
Acknowledgements
This work was jointly supported by National Natural Science Foundation of China with grant No. 61375067 and 61403155, National Basic Research Program of China (973 Program) with grant No. 2014CB046306-2, and Natural Science Foundation of Jiangsu Province with grant No. BK2012566
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Gong, D., Sun, F., Sun, J., Sun, X. (2015). Set-Based Many-Objective Optimization Guided by Preferred Regions. In: Huang, DS., Han, K. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2015. Lecture Notes in Computer Science(), vol 9227. Springer, Cham. https://doi.org/10.1007/978-3-319-22053-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-22053-6_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-22052-9
Online ISBN: 978-3-319-22053-6
eBook Packages: Computer ScienceComputer Science (R0)