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A Better Approach for Solving a Fuzzy Multiobjective Programming Problem by Level Sets

Author

Listed:
  • Beatriz Hernández-Jiménez

    (Departamento de Economía, Métodos Cuantitativos e Historia Económica, Universidad Pablo de Olavide, 41013 Sevilla, Spain
    These authors contributed equally to this work.)

  • Gabriel Ruiz-Garzón

    (Instituto de Desarrollo Social y Sostenible (INDESS), Universidad de Cádiz, 11405 Jerez de la Frontera, Spain
    These authors contributed equally to this work.)

  • Antonio Beato-Moreno

    (Departamento de Estadística e I.O., Universidad de Sevilla, 41004 Sevilla, Spain
    These authors contributed equally to this work.)

  • Rafaela Osuna-Gómez

    (Departamento de Estadística e I.O., Universidad de Sevilla, 41004 Sevilla, Spain
    These authors contributed equally to this work.)

Abstract

In this paper, we deal with the resolution of a fuzzy multiobjective programming problem using the level sets optimization. We compare it to other optimization strategies studied until now and we propose an algorithm to identify possible Pareto efficient optimal solutions.

Suggested Citation

  • Beatriz Hernández-Jiménez & Gabriel Ruiz-Garzón & Antonio Beato-Moreno & Rafaela Osuna-Gómez, 2021. "A Better Approach for Solving a Fuzzy Multiobjective Programming Problem by Level Sets," Mathematics, MDPI, vol. 9(9), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:992-:d:545024
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    References listed on IDEAS

    as
    1. Luciano Stefanini & Barnabas Bede, 2008. "Generalized Hukuhara Differentiability of Interval-valued Functions and Interval Differential Equations," Working Papers 0803, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
    2. Barnab?s Bede & Luciano Stefanini, 2012. "Generalized Differentiability of Fuzzy-valued Functions," Working Papers 1209, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2012.
    3. R. Osuna-Gómez & B. Hernández-Jiménez & Y. Chalco-Cano & G. Ruiz-Garzón, 2018. "Different optimum notions for fuzzy functions and optimality conditions associated," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 177-193, June.
    4. H. C. Wu, 2008. "Solutions of Fuzzy Multiobjective Programming Problems Based on the Concept of Scalarization," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 361-378, November.
    5. Luhandjula, M.K. & Rangoaga, M.J., 2014. "An approach for solving a fuzzy multiobjective programming problem," European Journal of Operational Research, Elsevier, vol. 232(2), pages 249-255.
    6. Luciano Stefanini, 2008. "A generalization of Hukuhara difference for interval and fuzzy arithmetic," Working Papers 0801, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
    Full references (including those not matched with items on IDEAS)

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