IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3292-d1203397.html
   My bibliography  Save this article

Identification and Classification of Multi-Attribute Decision-Making Based on Complex Intuitionistic Fuzzy Frank Aggregation Operators

Author

Listed:
  • Xiaopeng Yang

    (School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China)

  • Tahir Mahmood

    (Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan)

  • Zeeshan Ali

    (Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan)

  • Khizar Hayat

    (Department of Mathematics, University of Kotli, Kotli 11100, Pakistan)

Abstract

Invented by Frank in 1979, Frank’s t-norm and t-conorm operations possess improved modifications and can be applied more generally than the existing algebraic t-norm and t-conorm. The major objective of this article is to determine Frank’s operational laws based on complex intuitionistic fuzzy (CIF) information. Moreover, we examine the Frank aggregation operators (averaging and geometric) based on CIF set theory and Frank operational laws, such as the CIF Frank weighted averaging (CIFFWA) operator, CIF Frank ordered weighted averaging (CIFFOWA) operator, CIF Frank hybrid averaging (CIFFHA) operator, CIF Frank weighted geometric (CIFFWG) operator, CIF Frank ordered weighted geometric (CIFFOWG) operator and CIF Frank hybrid geometric (CIFFHG) operator. Some dominant and feasible properties of the invented techniques are also stated. Additionally, to evaluate the problem of osteoporosis in human bodies based on their causes and risk factors, we illustrate an application of the multi-attribute decision-making (MADM) technique with consideration of the invented methods to show the supremacy and validity of the derived techniques. Finally, we aim to compare the proposed scenarios with some valid existing or prevailing techniques to increase the value of the presented approaches.

Suggested Citation

  • Xiaopeng Yang & Tahir Mahmood & Zeeshan Ali & Khizar Hayat, 2023. "Identification and Classification of Multi-Attribute Decision-Making Based on Complex Intuitionistic Fuzzy Frank Aggregation Operators," Mathematics, MDPI, vol. 11(15), pages 1-19, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3292-:d:1203397
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3292/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3292/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zeeshan Ali & Tahir Mahmood & Muhammad Aslam & Ronnason Chinram, 2021. "Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making," Mathematics, MDPI, vol. 9(16), pages 1-29, August.
    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. Zeeshan Ali & Tahir Mahmood & Miin-Shen Yang, 2023. "Frank Prioritized Aggregation Operators and WASPAS Method Based on Complex Intuitionistic Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 11(9), pages 1-21, April.
    2. Abid Khan & Miin-Shen Yang & Mirajul Haq & Ashfaq Ahmad Shah & Muhammad Arif, 2022. "A New Approach for Normal Parameter Reduction Using σ -Algebraic Soft Sets and Its Application in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 10(8), pages 1-17, April.

    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:11:y:2023:i:15:p:3292-:d:1203397. 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.