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On the Parametric Decomposition Theorem in Multiobjective Optimization

Author

Listed:
  • José Antonio Cuenca Mira

    (Universidad de Málaga)

  • Francisca Miguel García

    (Universidad de Málaga)

Abstract

An example is given to show the inadequacy of a well-known result, concerning the parametric decomposition theorem for multiobjective optimization problems. We also give an accurate decomposition theorem, which generalizes a corrected reformulation of this result.

Suggested Citation

  • José Antonio Cuenca Mira & Francisca Miguel García, 2017. "On the Parametric Decomposition Theorem in Multiobjective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 174(3), pages 945-953, September.
    • Handle: RePEc:spr:joptap:v:174:y:2017:i:3:d:10.1007_s10957-017-1118-z
    DOI: 10.1007/s10957-017-1118-z
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    References listed on IDEAS

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    1. Melissa Gardenghi & Trinidad Gómez & Francisca Miguel & Margaret M. Wiecek, 2011. "Algebra of Efficient Sets for Multiobjective Complex Systems," Journal of Optimization Theory and Applications, Springer, vol. 149(2), pages 385-410, May.
    2. Dinçer Konur & Hadi Farhangi & Cihan H. Dagli, 2016. "A multi-objective military system of systems architecting problem with inflexible and flexible systems: formulation and solution methods," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 967-1006, October.
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