IDEAS home Printed from https://ideas.repec.org/a/ibn/masjnl/v10y2016i9p22.html
   My bibliography  Save this article

Solving the First Kind Fuzzy Integral Equations Using a Hybrid Regularization Method and Bernstein Polynomials

Author

Listed:
  • A. K. Moloodpour
  • A. Jafarian

Abstract

A hybrid of regularization methodand Bernstein polynomials is used to solve the first kind fuzzy integral equations. In this paper, first the regularization method applied to convert the first kind fuzzy integral equation into the second kind fuzzy integral equation. Then by approximating Bernstein polynomials, the obtained second kind fuzzy integral equation is solved. In this method, one parameter was created in the second kind equation. When this parameter tends to zero, the solutions of integral equation of the second kind tend to solutions of the integral equation of the first kind. The obtained solutions are comparable to the solutions of the other similar methods. Performance of the mentioned method is illustrated by considering some example.

Suggested Citation

  • A. K. Moloodpour & A. Jafarian, 2016. "Solving the First Kind Fuzzy Integral Equations Using a Hybrid Regularization Method and Bernstein Polynomials," Modern Applied Science, Canadian Center of Science and Education, vol. 10(9), pages 1-22, September.
    • Handle: RePEc:ibn:masjnl:v:10:y:2016:i:9:p:22
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/mas/article/download/59717/31986
    Download Restriction: no
    File URL: https://ccsenet.org/journal/index.php/mas/article/view/59717
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Karimi, Saeed & Jozi, Meisam, 2015. "A new iterative method for solving linear Fredholm integral equations using the least squares method," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 744-758.
    2. Abbasbandy, S. & Babolian, E. & Alavi, M., 2007. "Numerical method for solving linear Fredholm fuzzy integral equations of the second kind," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 138-146.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yousef Jafarzadeh, 2012. "Numerical solution for fuzzy Fredholm integral equations with upper-bound on error by splines interpolation," Fuzzy Information and Engineering, Springer, vol. 4(3), pages 339-347, September.
    2. María Isabel Berenguer & Manuel Ruiz Galán, 2022. "An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator," Mathematics, MDPI, vol. 10(7), pages 1-10, March.
    3. Hossein Attari & Allahbakhsh Yazdani, 2011. "A computational method for fuzzy Volterra-Fredholm integral equations," Fuzzy Information and Engineering, Springer, vol. 3(2), pages 147-156, June.

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:ibn:masjnl:v:10:y:2016:i:9:p:22. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.