IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i2p19-d129829.html
   My bibliography  Save this article

Numerical Methods for Solving Fuzzy Linear Systems

Author

Listed:
  • Lubna Inearat

    (Department of Mathematics, An–Najah National University, Nablus, P.O. Box 7, Palestine)

  • Naji Qatanani

    (Department of Mathematics, An–Najah National University, Nablus, P.O. Box 7, Palestine)

Abstract

In this article, three numerical iterative schemes, namely: Jacobi, Gauss–Seidel and Successive over-relaxation (SOR) have been proposed to solve a fuzzy system of linear equations (FSLEs). The convergence properties of these iterative schemes have been discussed. To display the validity of these iterative schemes, an illustrative example with known exact solution is considered. Numerical results show that the SOR iterative method with ω = 1.3 provides more efficient results in comparison with other iterative techniques.

Suggested Citation

  • Lubna Inearat & Naji Qatanani, 2018. "Numerical Methods for Solving Fuzzy Linear Systems," Mathematics, MDPI, vol. 6(2), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:2:p:19-:d:129829
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/2/19/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/2/19/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:6:y:2018:i:2:p:19-:d:129829. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.