IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6682244.html

Neutrosophic Ideals in Artinian Rings and Their Application to AI-Driven Uncertainty Classification

Author

Listed:
  • Amr Elrawy
  • Mohammed A. Saleem
  • Ali Yahya Hummdi
  • Ayat A. Temraz

Abstract

This work examines the behaviour of neutrosophic ideals within the framework of Artinian rings. A key finding shows that a ring with unity is left (or right) Artinian if and only if every neutrosophic left (or right) ideal takes only finitely many possible values. From this perspective, the study provides a characterization of Artinian rings based on the properties of their neutrosophic ideal structures. Building on this insight, the methodological part develops an AI-oriented mechanism for handling uncertain information. The procedure encodes data in a neutrosophic format and incorporates the structural constraints of ideals in unital Artinian rings, specifically the boundedness of their attainable values, to guide how the classification model interprets and organizes uncertainty.

Suggested Citation

  • Amr Elrawy & Mohammed A. Saleem & Ali Yahya Hummdi & Ayat A. Temraz, 2026. "Neutrosophic Ideals in Artinian Rings and Their Application to AI-Driven Uncertainty Classification," Journal of Mathematics, Hindawi, vol. 2026, pages 1-9, July.
    • Handle: RePEc:hin:jjmath:6682244
    DOI: 10.1155/jom/6682244
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2026/6682244.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2026/6682244.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/jom/6682244?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
    ---><---

    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:hin:jjmath:6682244. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.