IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i6p1329-d1092422.html
   My bibliography  Save this article

Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type

Author

Listed:
  • Zahra Eidinejad

    (School of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, Iran
    These authors contributed equally to this work.)

  • Reza Saadati

    (School of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, Iran
    These authors contributed equally to this work.)

  • Radko Mesiar

    (Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 810 05 Bratislava, Slovakia
    Institute of Information Theory and Automation, The Czech Academy of Sciences, Pod Vodárenskou věží 4, 182 08 Praha, Czech Republic
    These authors contributed equally to this work.)

  • Pandora Raja

    (Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839-69411, Iran
    These authors contributed equally to this work.)

Abstract

We apply special functions and use the concept of the aggregation function to introduce a new class of fuzzy control functions, and based on this, we obtain the best approximation for the stochastic bi-homomorphisms and stochastic bi-derivations in FB-algebras and FC-⋄-algebras of matrix type associated with the bi-additive random operator inequality.

Suggested Citation

  • Zahra Eidinejad & Reza Saadati & Radko Mesiar & Pandora Raja, 2023. "Applications of Special Functions to Approximate Stochastic Bi-Homomorphisms and Stochastic Bi-Derivations in FB-Algebras and FC-⋄-Algebras of the Matrix Type," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1329-:d:1092422
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/6/1329/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/6/1329/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zahra Eidinejad & Reza Saadati & Rodica Luca, 2022. "Hyers-Ulam-Rassias-Wright Stability for Fractional Oscillation Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-7, February.
    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. Zahra Eidinejad & Reza Saadati & Radko Mesiar, 2022. "Optimum Approximation for ς –Lie Homomorphisms and Jordan ς –Lie Homomorphisms in ς –Lie Algebras by Aggregation Control Functions," Mathematics, MDPI, vol. 10(10), pages 1-17, May.

    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:11:y:2023:i:6:p:1329-:d:1092422. 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: 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.