Abstract
Interval multi-objective optimization problems (MOPs) are popular and important in real-world applications. We present a novel interactive evolutionary algorithm (IEA) incorporating an optimization-cum-decision-making procedure to obtain the most preferred solution that fits a decision-maker (DM)’s preferences. Our method is applied to two interval MOPs and compared with PPIMOEA and the posteriori method, and the experimental results confirm the superiorities of our method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Zhao, Z.H., Han, X., Jiang, C., Zhou, X.X.: A Nonlinear Interval-based Optimization Method with Local-densifying Approximation Technique. Struct. Multidisc. Optim. 42, 559–573 (2010)
Limbourg, P., Aponte, D.E.S.: An Optimizaiton Algorithm for Imprecise Multi-objective Problem Function. In: Proceedings of the IEEE International Conference on Evolutionary Computation, pp. 459–466. IEEE Press, New York (2005)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 182–197 (2002)
Branke, J., Deb, K., Miettinen, K., Słowiński, R. (eds.): Multiobjective Optimization - Interactive and Evolutionary Approaches. LNCS, vol. 5252. Springer, Heidelberg (2008)
Luque, M., Miettinen, K., Eskelinen, P., Ruiz, F.: Incorporating Preference Information in Interactive Reference Point. Omega 37, 450–462 (2009)
Deb, K., Kumar, A.: Interactive Evolutionary Multi-objective Optimization and Decision-making Using Reference Direction Method. Technical report, KanGAL (2007)
Fowler, J.W., Gel, E.S., Koksalan, M.M., Korhonen, P., Marquis, J.L., Wallenius, J.: Interactive Evolutionary Multi-objective Optimization for Quasi-concave Preference Functions. Eur. J. Oper. Res. 206, 417–425 (2010)
Sun, J., Gong, D.W., Sun, X.Y.: Solving Interval Multi-objective Optimization Problems Using Evolutionary Algorithms with Preference Polyhedron. In: Genetic and Evolutionary Computation Conference, pp. 729–736. ACM, NewYork (2011)
Moore, R.E., Kearfott, R.B., Cloud, M.J.: Introduction to Interval Analysis. SIAM, Philadelphia (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sun, J., Gong, D., Sun, X. (2011). Optimizing Interval Multi-objective Problems Using IEAs with Preference Direction. In: Lu, BL., Zhang, L., Kwok, J. (eds) Neural Information Processing. ICONIP 2011. Lecture Notes in Computer Science, vol 7063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24958-7_52
Download citation
DOI: https://doi.org/10.1007/978-3-642-24958-7_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24957-0
Online ISBN: 978-3-642-24958-7
eBook Packages: Computer ScienceComputer Science (R0)