IDEAS home Printed from https://ideas.repec.org/a/wsi/nmncxx/v19y2023i02ns1793005723500163.html
   My bibliography  Save this article

A 3D Distance Measure for Intuitionistic Fuzzy Sets and its Application in Pattern Recognition and Decision-Making Problems

Author

Listed:
  • Anjali Patel

    (Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India)

  • Naveen Kumar

    (Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India)

  • Juthika Mahanta

    (Department of Mathematics, NIT Silchar, Cachar, Assam 788010, India)

Abstract

The distance measure as an information measure helps in processing incomplete and confusing data to arrive at a conclusion by assessing the degree of difference between pairs of variables. Reviewing distance measures for Intuitionistic Fuzzy Sets (IFSs), we have pointed out several drawbacks of the existing measures. To overcome these, this paper presents a new distance measure between IFSs based on the probabilistic divergence measure. Several mathematical properties of the proposed metric are established and validated via numerical examples. This proposed definition is further used to devise several similarity measures. Applicability and consistency of the introduced measures have been corroborated by various examples. In addition to that, rationality of the proposed metric is established by applying it to pattern recognition applications, Multi-Attribute-Decision-Making (MADM) problems and medical & pathological diagnoses. Analysis of the results establishes that the suggested measure overcomes shortcomings associated with existing measures and thereby authenticates the superiority of the proposed measure.

Suggested Citation

  • Anjali Patel & Naveen Kumar & Juthika Mahanta, 2023. "A 3D Distance Measure for Intuitionistic Fuzzy Sets and its Application in Pattern Recognition and Decision-Making Problems," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 447-472, July.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:02:n:s1793005723500163
    DOI: 10.1142/S1793005723500163
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S1793005723500163
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S1793005723500163?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. Gupta, Soniya & Joshi, Dheeraj Kumar & Awasthi, Natasha & Pant, Manish & Joshi, Bhagawati prasad & Chaube, Shshank, 2024. "Distance and similarity measures of Hesitant bi-fuzzy set and its applications in renewable energy systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 321-336.

    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:nmncxx:v:19:y:2023:i:02:n:s1793005723500163. 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/nmnc/nmnc.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.