IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/4116205.html
   My bibliography  Save this article

The Perfect Score Function and Optimized Weighted Geometric Operator for Ranking Single-Valued Neutrosophic Numbers in the Decision-Making Process

Author

Listed:
  • R. V. Jaikumar
  • Sundareswaran Raman
  • Ammar Alsinai
  • Shanmugapriya Marayanagaraj
  • G. Muhiuddin

Abstract

The single-valued neutrosophic set (SVNS) is a more common platform for representing the degree of truth, indeterminacy, and falsity memberships. Indeterminacy is an important aspect of SVNS, and the score function (SF) is important in ranking alternatives in decision-making scenarios. When the score and accuracy values for different SVNNs were equal, existing SFs were unable to rank the alternatives. To address the limitations, this paper introduces the perfect score function (PSF) as a solution for ranking single-valued neutrosophic numbers (SVNNs) without any errors and presents the concepts of strong and weak SVNSs. This article has emphasized the drawbacks of the existing SF in SVNNs. Additionally, we propose an optimized weighted geometric operator (OWGO) for SVNNs, and its properties such as idempotency, boundedness, monotonicity, and commutativity are explored. Furthermore, the decision-making approach has been depicted based on the proposed score function and OWGO to select the finest faculty for a university.

Suggested Citation

  • R. V. Jaikumar & Sundareswaran Raman & Ammar Alsinai & Shanmugapriya Marayanagaraj & G. Muhiuddin, 2024. "The Perfect Score Function and Optimized Weighted Geometric Operator for Ranking Single-Valued Neutrosophic Numbers in the Decision-Making Process," Journal of Mathematics, Hindawi, vol. 2024, pages 1-14, September.
    • Handle: RePEc:hin:jjmath:4116205
    DOI: 10.1155/2024/4116205
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2024/4116205.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2024/4116205.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2024/4116205?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:4116205. 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.