IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i8p136-d163098.html
   My bibliography  Save this article

Energy of Pythagorean Fuzzy Graphs with Applications

Author

Listed:
  • Muhammad Akram

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

  • Sumera Naz

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

Abstract

Pythagorean fuzzy sets (PFSs), an extension of intuitionistic fuzzy sets (IFSs), inherit the duality property of IFSs and have a more powerful ability than IFSs to model the obscurity in practical decision-making problems. In this research study, we compute the energy and Laplacian energy of Pythagorean fuzzy graphs (PFGs) and Pythagorean fuzzy digraphs (PFDGs). Moreover, we derive the lower and upper bounds for the energy and Laplacian energy of PFGs. Finally, we present numerical examples, including the design of a satellite communication system and the evaluation of the schemes of reservoir operation to illustrate the applications of our proposed concepts in decision making.

Suggested Citation

  • Muhammad Akram & Sumera Naz, 2018. "Energy of Pythagorean Fuzzy Graphs with Applications," Mathematics, MDPI, vol. 6(8), pages 1-27, August.
  • Handle: RePEc:gam:jmathe:v:6:y:2018:i:8:p:136-:d:163098
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/8/136/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/6/8/136/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sunil Mathew & John N. Mordeson, 2017. "Fuzzy Incidence Blocks and their Applications in Illegal Migration Problems," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 245-260, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Santanu Acharjee & John N. Mordeson, 2017. "Soft Statistics with Respect to Utility and Application to Human Trafficking," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 289-310, November.

    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:gam:jmathe:v:6:y:2018:i:8:p:136-:d:163098. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.