Evidence map›Paper›PMID 39955333›Full record

ArticleScientific reports2025

Circular intuitionistic fuzzy Hamacher aggregation operators for multi-attribute decision-making.

Aliya Fahmi, Aziz Khan, Zahida Maqbool, Thabet Abdeljawad

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Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.

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11citing papers in PubMed
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1 · What the graph read from it

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3 · Its place in the literature

Who cites it

11 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

Aliya FahmiDepartment of Mathematics and Statistics, The University of Faisalabad, Faisalabad, Pakistan. aliyafahmi@gmail.com.
Aziz KhanDepartment of Mathematics and Sciences, Prince Sultan University, P.O. Box 6683, 11586, Riyadh, Saudi Arabia.
Zahida MaqboolNational Business School, The University of Faisalabad, Faisalabad, Pakistan.
Thabet AbdeljawadDepartment of Mathematics and Sciences, Prince Sultan University, P.O. Box 6683, 11586, Riyadh, Saudi Arabia. tabdeljawad@psu.edu.sa.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Decision-making in uncertain and imprecise environments often requires robust mathematical frameworks capable of effectively representing and aggregating conflicting information. Circular Intuitionistic Fuzzy Sets (C-IFSs) are powerful tools for modeling such complexities by combining intuitionistic and cubic fuzzy set properties. In this study, we extend the applicability of C-IFSs by integrating them with the Hamacher operational framework, offering a more flexible and adaptive approach to aggregation. To this end, we propose six novel aggregation operators: Circular Intuitionistic Fuzzy Hamacher Weighted Average (CIFHWA), Circular Intuitionistic Fuzzy Hamacher Ordered Weighted Average (CIFHOWA), Circular Intuitionistic Fuzzy Hamacher Hybrid Weighted Average (CIFHHWA), Circular Intuitionistic Fuzzy Hamacher Weighted Geometric (CIFHWG), Circular Intuitionistic Fuzzy Hamacher Ordered Weighted Geometric (CIFHOWG), and Circular Intuitionistic Fuzzy Hamacher Hybrid Weighted Geometric (CIFHHWG). These operators are designed to address multi-criteria decision-making challenges with improved precision. We further develop score and accuracy functions to rank C-IFSs and propose a neural-based scheme employing cubic correlation coefficients to enhance computational efficiency. A detailed numerical example validates the framework's effectiveness, illustrating its practical utility. Additionally, comparative analyses with existing techniques and sensitivity and robustness examinations demonstrate its superiority in handling complex decision-making scenarios. The findings underscore the advantages of using Hamacher-based operations with C-IFSs, offering a novel contribution to fuzzy decision-making and opening avenues for future research in uncertain data analysis.

Indexed as

Circular intuitionistic fuzzy setsHamacher operatorsIntuitionistic fuzzy setsMultiple-criteria decision-making

Identifiers

PMID39955333
PMCPMC11830057

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.