IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/397823.html
   My bibliography  Save this article

Intuitionistic Fuzzy Planar Graphs

Author

Listed:
  • Noura Alshehri
  • Muhammad Akram

Abstract

Graph theory has numerous applications in modern sciences and technology. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dual graphs. We introduce the notions of intuitionistic fuzzy multigraphs, intuitionistic fuzzy planar graphs, and intuitionistic fuzzy dual graphs and investigate some of their interesting properties. We also study isomorphism between intuitionistic fuzzy planar graphs.

Suggested Citation

  • Noura Alshehri & Muhammad Akram, 2014. "Intuitionistic Fuzzy Planar Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, August.
  • Handle: RePEc:hin:jnddns:397823
    DOI: 10.1155/2014/397823
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2014/397823.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/DDNS/2014/397823.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2014/397823?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
    ---><---

    Citations

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


    Cited by:

    1. Naveed Yaqoob & Muhammad Gulistan & Seifedine Kadry & Hafiz Abdul Wahab, 2019. "Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies," Mathematics, MDPI, vol. 7(1), pages 1-18, January.
    2. Muhammad Akram & Jawaria Mohsan Dar & Adeel Farooq, 2018. "Planar Graphs under Pythagorean Fuzzy Environment," Mathematics, MDPI, vol. 6(12), pages 1-28, November.

    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:jnddns:397823. 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.