IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v21y2022i02ns0219622021500620.html
   My bibliography  Save this article

An Improved Fuzzy TOPSIS Method with a New Ranking Index

Author

Listed:
  • S. A. Sadabadi

    (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran)

  • A. Hadi-Vencheh

    (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran)

  • A. Jamshidi

    (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran)

  • M. Jalali

    (Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran)

Abstract

Owing to vague concepts frequently represented in decision data, the crisp values are inadequate to model real-life situations. In this paper, the rating of each alternative and the weight of each criterion is described by linguistic terms which can be expressed in triangular fuzzy numbers. Next, we focus on fuzzy TOPSIS (FTOPSIS) method. We show that, however, the conventional FTOPSIS is interesting, but it suffers from some flaws. The shortcomings of classical FTOPSIS are shown and some solutions are given. Further, a new similarity index is proposed and then is illustrated using numerical examples. By treating the separations of an alternative from the fuzzy positive ideal solution (FPIS) and the fuzzy negative ideal solution (FNIS) as “cost†criterion and “benefit†criterion, respectively, we reduce the original fuzzy multiple criteria decision making (FMCDM) problem to a new one with two criteria. Illustrative examples are given to show the advantages of the proposed approach.

Suggested Citation

  • S. A. Sadabadi & A. Hadi-Vencheh & A. Jamshidi & M. Jalali, 2022. "An Improved Fuzzy TOPSIS Method with a New Ranking Index," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 615-641, March.
    • Handle: RePEc:wsi:ijitdm:v:21:y:2022:i:02:n:s0219622021500620
    DOI: 10.1142/S0219622021500620
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219622021500620
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219622021500620?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Antunes, Jorge & Tan, Yong & Wanke, Peter & Jabbour, Charbel Jose Chiappetta, 2023. "Impact of R&D and innovation in Chinese road transportation sustainability performance: A novel trigonometric envelopment analysis for ideal solutions (TEA-IS)," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).

    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:wsi:ijitdm:v:21:y:2022:i:02:n:s0219622021500620. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    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.