IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i17p2163-d629117.html
   My bibliography  Save this article

A Novel MADM Framework under q -Rung Orthopair Fuzzy Bipolar Soft Sets

Author

Listed:
  • Ghous Ali

    (Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan)

  • Hanan Alolaiyan

    (Department of Mathematics, King Saud University, Riyadh 11451, Saudi Arabia)

  • Dragan Pamučar

    (Department of Logistics, Military Academy, University of Defence in Belgrade, 11000 Belgrade, Serbia)

  • Muhammad Asif

    (School of Mathematics, Xiamen University, Xiamen 361005, China)

  • Nimra Lateef

    (Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan)

Abstract

In many real-life problems, decision-making is reckoned as a powerful tool to manipulate the data involving imprecise and vague information. To fix the mathematical problems containing more generalized datasets, an emerging model called q -rung orthopair fuzzy soft sets offers a comprehensive framework for a number of multi-attribute decision-making (MADM) situations but this model is not capable to deal effectively with situations having bipolar soft data. In this research study, a novel hybrid model under the name of q -rung orthopair fuzzy bipolar soft set ( q -ROFBSS, henceforth), an efficient bipolar soft generalization of q -rung orthopair fuzzy set model, is introduced and illustrated by an example. The proposed model is successfully tested for several significant operations like subset, complement, extended union and intersection, restricted union and intersection, the ‘AND’ operation and the ‘OR’ operation. The De Morgan’s laws are also verified for q -ROFBSSs regarding above-mentioned operations. Ultimately, two applications are investigated by using the proposed framework. In first real-life application, the selection of land for cropping the carrots and the lettuces is studied, while in second practical application, the selection of an eligible student for a scholarship is discussed. At last, a comparison of the initiated model with certain existing models, including Pythagorean and Fermatean fuzzy bipolar soft set models is provided.

Suggested Citation

  • Ghous Ali & Hanan Alolaiyan & Dragan Pamučar & Muhammad Asif & Nimra Lateef, 2021. "A Novel MADM Framework under q -Rung Orthopair Fuzzy Bipolar Soft Sets," Mathematics, MDPI, vol. 9(17), pages 1-22, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2163-:d:629117
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/17/2163/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/17/2163/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Li Li & Hegong Lei & Jun Wang, 2020. "Q -Rung Probabilistic Dual Hesitant Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 8(9), pages 1-34, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Zeb, Aurang & Ahmad, Waseem & Asif, Muhammad & Simic, Vladimir & Senapati, Tapan & Hou, Muzhou, 2024. "Optimizing decision-making in electric power system selection: A generalized approach based on Hamacher aggregation operators for q-rung orthopair fuzzy soft sets," Applied Energy, Elsevier, vol. 367(C).
    2. Cristian Silviu Simionescu & Ciprian Petrisor Plenovici & Constanta Laura Augustin & Maria Magdalena Turek Rahoveanu & Adrian Turek Rahoveanu & Gheorghe Adrian Zugravu, 2022. "Fuzzy Quality Certification of Wheat," Agriculture, MDPI, vol. 12(10), pages 1-13, October.

    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.

      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:9:y:2021:i:17:p:2163-:d:629117. 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.