IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v35y1993i4p321-326.html
   My bibliography  Save this article

Stability of multiobjective nonlinear programming problems with fuzzy parameters

Author

Listed:
  • Osman, Mohamed S.
  • El-Banna, Abou-Zaid H.

Abstract

This paper deals with multiobjective nonlinear programming problems with fuzzy parameters in the objective functions. These fuzzy parameters are characterized by fuzzy numbers. The existing results concerning the qualitative analysis of some basic notions in parametric nonlinear programming problems are reformulated to study the stability of multiobjective nonlinear programming problems under the concept of α-pareto optimality. An algorithm for obtaining any subset of the parametric space which has the same corresponding α-pareto optimal solution is also presented. An illustrative example is given to clarify the obtained results.

Suggested Citation

  • Osman, Mohamed S. & El-Banna, Abou-Zaid H., 1993. "Stability of multiobjective nonlinear programming problems with fuzzy parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(4), pages 321-326.
    • Handle: RePEc:eee:matcom:v:35:y:1993:i:4:p:321-326
    DOI: 10.1016/0378-4754(93)90062-Y
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037847549390062Y
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/0378-4754(93)90062-Y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. El-Hady Kassem, Mohamed Abd, 2001. "Interactive stability of vector optimization problems," European Journal of Operational Research, Elsevier, vol. 134(3), pages 616-622, November.
    2. El-Banna, Abou-Zaid H. & Zarea, Sana’a A., 2001. "Stability of linear vector optimization problems corresponding to an efficient set," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(6), pages 335-345.
    3. Kassem, Mohamed Abd El-Hady, 1997. "Decomposition of the fuzzy parametric space in multiobjective nonlinear programming problems," European Journal of Operational Research, Elsevier, vol. 101(1), pages 204-219, August.
    4. Li, Dengfeng & Cheng, Chuntian, 2004. "Stability on multiobjective dynamic programming problems with fuzzy parameters in the objective functions and in the constraints," European Journal of Operational Research, Elsevier, vol. 158(3), pages 678-696, November.
    5. Pavan Kumar & Hamiden Abd El-Wahed Khalifa, 2023. "Enhancing Decomposition Approach for Solving Multi-Objective Dynamic Non-Linear Programming Problems Involving Fuzziness," Mathematics, MDPI, vol. 11(14), pages 1-16, July.
    6. Hamiden Abd El-Wahed Khalifa, 2020. "Goal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(1), pages 85-96.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:35:y:1993:i:4:p:321-326. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.