IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n8239263.html

Extending COPRAS Method with Linguistic Fermatean Fuzzy Sets and Hamy Mean Operators

Author

Listed:
  • Muhammad Akram
  • Naila Ramzan
  • Feng Feng

Abstract

The utilization of linguistic variables is of vital importance for qualitative information processing in mathematical modelling and decision making under uncertainty. The primary purpose of our study is to introduce a novel structure by the fusion of Fermatean fuzzy sets and linguistic term sets. This hybrid structure is termed as the linguistic Fermatean fuzzy set which can be employed for dealing with decision‐making problems involving qualitative information. Several fundamental operations of linguistic Fermatean fuzzy sets are introduced. Furthermore, we present four classes of linguistic Fermatean fuzzy Hamy mean operators, namely, the linguistic Fermatean fuzzy Hamy mean operator, the linguistic Fermatean fuzzy dual Hamy mean operator, the linguistic Fermatean fuzzy weighted Hamy mean operator, and the linguistic Fermatean fuzzy weighted dual Hamy mean operator. Some basic properties of these linguistic Fermatean fuzzy Hamy mean operators are examined as well. In addition, we develop a linguistic Fermatean fuzzy extension of the COPRAS method. We also propose a novel approach to multi‐attribute group decision making with linguistic Fermatean fuzzy information. With our proposed methods, we solve two practical problems regarding food company ranking and green supplier selection, respectively. Finally, the efficacy of our developed method is validated through a comparative analysis with existing methods.

Suggested Citation

  • Muhammad Akram & Naila Ramzan & Feng Feng, 2022. "Extending COPRAS Method with Linguistic Fermatean Fuzzy Sets and Hamy Mean Operators," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:8239263
    DOI: 10.1155/2022/8239263
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/8239263
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8239263?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
    ---><---

    References listed on IDEAS

    as
    1. Xiumei Deng & Jie Wang & Guiwu Wei & Mao Lu, 2018. "Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators," Mathematics, MDPI, vol. 6(11), pages 1-28, October.
    2. Huimin Zhang, 2014. "Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, April.
    3. Muhammad Akram & Gulfam Shahzadi & Abdullah Ali H. Ahmadini & Tahir Mahmood, 2020. "Decision-Making Framework for an Effective Sanitizer to Reduce COVID-19 under Fermatean Fuzzy Environment," Journal of Mathematics, Hindawi, vol. 2020, pages 1-19, October.
    4. 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.
    5. Huimin Zhang, 2014. "Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    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. 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. Zeeshan Ali & Tapan Senapati & Sarbast Moslem, 2025. "Selection of artificial intelligence tool for blind assistance based on Dombi aggregation operators for intuitionistic linguistic decision-making problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 16(5), pages 1844-1864, May.
    3. 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.
    4. Jiří Močkoř, 2021. "Semiring-Valued Fuzzy Sets and F-Transform," Mathematics, MDPI, vol. 9(23), pages 1-24, December.
    5. Chuanyang Ruan & Sinong Lin, 2025. "Fermatean Fuzzy Two-Sided Matching Model Considering Regret Aversion and Matching Willingness," Mathematics, MDPI, vol. 13(20), pages 1-29, October.
    6. Kamal Kumar & Harish Garg, 2018. "Prioritized Linguistic Interval-Valued Aggregation Operators and Their Applications in Group Decision-Making Problems," Mathematics, MDPI, vol. 6(10), pages 1-26, October.
    7. Iftikhar Ul Haq & Tanzeela Shaheen & Wajid Ali & Hamza Toor & Tapan Senapati & Francesco Pilla & Sarbast Moslem, 2023. "Novel Fermatean Fuzzy Aczel–Alsina Model for Investment Strategy Selection," Mathematics, MDPI, vol. 11(14), pages 1-23, July.
    8. Abhishek Yadav & Raghunathan Krishankumar & Kattur Soundarapandian Ravichandran & Fatih Ecer, 2026. "Analyzing Barriers to Discrimination Mitigation for Women's Empowerment to Achieve SDG 5–Gender Equality," Sustainable Development, John Wiley & Sons, Ltd., vol. 34(S2), pages 757-777, March.
    9. Jiří Močkoř & David Hýnar, 2021. "On Unification of Methods in Theories of Fuzzy Sets, Hesitant Fuzzy Set, Fuzzy Soft Sets and Intuitionistic Fuzzy Sets," Mathematics, MDPI, vol. 9(4), pages 1-26, February.
    10. Jianping Lu & Tingting He & Guiwu Wei & Jiang Wu & Cun Wei, 2020. "Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method," IJERPH, MDPI, vol. 17(6), pages 1-21, March.
    11. Ayşegül Tuş & Esra Aytaç Adalı, 2025. "Enhancing Private Pension System Evaluation Using Fermatean Fuzzy Sets and Weighted Euclidean Distance Based Approach," SN Operations Research Forum, Springer, vol. 6(3), pages 1-27, September.
    12. Yefei Liu & Xiaoping Yang, 2023. "EDAS Method for Single‐Valued Neutrosophic Number Multiattribute Group Decision‐Making and Applications to Physical Education Teaching Quality Evaluation in Colleges and Universities," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    13. Yang Zhou & Guangmin Yang, 2022. "A Novel Linguistic Interval-Valued Pythagorean Fuzzy Multi-Attribute Group Decision-Making for Sustainable Building Materials Selection," Sustainability, MDPI, vol. 15(1), pages 1-29, December.
    14. Mingwei Lin & Jiuhan Wei & Zeshui Xu & Riqing Chen, 2018. "Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    15. Mingwei Lin & Chao Huang & Zeshui Xu, 2019. "TOPSIS Method Based on Correlation Coefficient and Entropy Measure for Linguistic Pythagorean Fuzzy Sets and Its Application to Multiple Attribute Decision Making," Complexity, Hindawi, vol. 2019, pages 1-16, October.
    16. P. A. Ejegwa & G. Muhiuddin & E. A. Algehyne & J. M. Agbetayo & D. Al-Kadi, 2022. "An Enhanced Fermatean Fuzzy Composition Relation Based on a Maximum‐Average Approach and Its Application in Diagnostic Analysis," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

    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:wly:jjmath:v:2022:y:2022:i:1:n:8239263. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.