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A Survey of Decomposition Methods for Multi-objective Optimization

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Recent Advances on Hybrid Approaches for Designing Intelligent Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 547))

Abstract

The multi-objective optimization methods are traditionally based on Pareto dominance or relaxed forms of dominance in order to achieve a representation of the Pareto front. However, the performance of traditional optimization methods decreases for those problems with more than three objectives to optimize. The decomposition of a multi-objective problem is an approach that transforms a multi-objective problem into many single-objective optimization problems, avoiding the need of any dominance form. This chapter provides a short review of the general framework, current research trends and future research topics on decomposition methods.

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Acknowledgments

B. Dorronsoro acknowledges the support by the National Research Fund, Luxembourg (AFR contract no. 4017742). A. Santiago would like to thank CONACyT Mexico, for the support no. 360199.

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Authors and Affiliations

  1. Instituto Tecnológico de Ciudad Madero, Ciudad Madero, Mexico

    Alejandro Santiago, Héctor Joaquín Fraire Huacuja, Claudia Gómez Santillan, Juan Javier González Barbosa & José Carlos Soto Monterrubio

  2. University of Lille, Lille, France

    Bernabé Dorronsoro

  3. University of Luxembourg, Luxembourg, Luxembourg

    Johnatan E. Pecero

Authors
  1. Alejandro Santiago
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  2. Héctor Joaquín Fraire Huacuja
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  3. Bernabé Dorronsoro
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  4. Johnatan E. Pecero
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  5. Claudia Gómez Santillan
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  6. Juan Javier González Barbosa
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  7. José Carlos Soto Monterrubio
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Corresponding author

Correspondence to Héctor Joaquín Fraire Huacuja .

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Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, Mexico

    Patricia Melin

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada

    Witold Pedrycz

  4. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Santiago, A. et al. (2014). A Survey of Decomposition Methods for Multi-objective Optimization. In: Castillo, O., Melin, P., Pedrycz, W., Kacprzyk, J. (eds) Recent Advances on Hybrid Approaches for Designing Intelligent Systems. Studies in Computational Intelligence, vol 547. Springer, Cham. https://doi.org/10.1007/978-3-319-05170-3_31

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  • DOI: https://doi.org/10.1007/978-3-319-05170-3_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05169-7

  • Online ISBN: 978-3-319-05170-3

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