IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/5556017.html
   My bibliography  Save this article

Hamacher Interactive Hybrid Weighted Averaging Operators under Fermatean Fuzzy Numbers

Author

Listed:
  • Gulfam Shahzadi
  • G. Muhiuddin
  • Muhammad Arif Butt
  • Ather Ashraf
  • Sami Ullah Khan

Abstract

A Fermatean fuzzy set is a more powerful tool to deal with uncertainties in the given information as compared to intuitionistic fuzzy set and Pythagorean fuzzy set and has energetic applications in decision-making. Aggregation operators are very helpful for assessing the given alternatives in the decision-making process, and their purpose is to integrate all the given individual evaluation values into a unified form. In this research article, some new aggregation operators are proposed under the Fermatean fuzzy set environment. Some deficiencies of the existing operators are discussed, and then, new operational law, by considering the interaction between the membership degree and nonmembership degree, is discussed to reduce the drawbacks of existing theories. Based on Hamacher’s norm operations, new averaging operators, namely, Fermatean fuzzy Hamacher interactive weighted averaging, Fermatean fuzzy Hamacher interactive ordered weighted averaging, and Fermatean fuzzy Hamacher interactive hybrid weighted averaging operators, are introduced. Some interesting properties related to these operators are also presented. To get the optimal alternative, a multiattribute group decision-making method has been given under proposed operators. Furthermore, we have explicated the comparison analysis between the proposed and existing theories for the exactness and validity of the proposed work.

Suggested Citation

  • Gulfam Shahzadi & G. Muhiuddin & Muhammad Arif Butt & Ather Ashraf & Sami Ullah Khan, 2021. "Hamacher Interactive Hybrid Weighted Averaging Operators under Fermatean Fuzzy Numbers," Journal of Mathematics, Hindawi, vol. 2021, pages 1-17, March.
    • Handle: RePEc:hin:jjmath:5556017
    DOI: 10.1155/2021/5556017
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2021/5556017.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2021/5556017.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5556017?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. Vladimir Simic & Ali Ebadi Torkayesh & Abtin Ijadi Maghsoodi, 2023. "Locating a disinfection facility for hazardous healthcare waste in the COVID-19 era: a novel approach based on Fermatean fuzzy ITARA-MARCOS and random forest recursive feature elimination algorithm," Annals of Operations Research, Springer, vol. 328(1), pages 1105-1150, September.
    2. Ayyildiz, Ertugrul, 2022. "Fermatean fuzzy step-wise Weight Assessment Ratio Analysis (SWARA) and its application to prioritizing indicators to achieve sustainable development goal-7," Renewable Energy, Elsevier, vol. 193(C), pages 136-148.

    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:jjmath:5556017. 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.