Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making

Mathematical tools are crucial for dealing with uncertainty because they provide a rigorous and logical framework for evaluating, measuring, and making decisions in the presence of ambiguous information. The bipolar complex fuzzy is one of the mathematical methods for simultaneously handling dual aspect and second-dimensional information. Thus, in this script, we propound aggregation operators "partitioned Maclaurin symmetric mean and partitioned dual Maclaurin symmetric mean" within bipolar complex fuzzy set that is bipolar complex fuzzy partitioned Maclaurin symmetric mean and bipolar complex fuzzy partitioned dual Maclaurin symmetric mean, bipolar complex fuzzy weighted partitioned Maclaurin symmetric mean and bipolar complex fuzzy weighted partitioned dual Maclaurin symmetric mean operators. We also propound the related axioms of the invented operators. By employing the deduced aggregation operators, we produce a technique of multiattribute decision making within bipolar complex fuzzy sets to overcome awkward uncertainties. After that, we demonstrate an explanatory example for revealing the significance and practicability of the deduced theory and then we analyze the reliability and legitimacy of the propounded operators by comparing them with some prevailing work.

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Publication Details

Journal
Scientific Reports
Published
2025-04-23
DOI
https://doi.org/10.1038/s41598-025-93452-0
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
0.00

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article

Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making

Ibrahim Al-Dayel, Ubaid ur Rehman, Meraj Ali Khan, Tahir Mahmood
Scientific Reports
Multi-Criteria Decision Making
article

Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making

Ibrahim Al-Dayel, Ubaid ur Rehman, Meraj Ali Khan, Tahir Mahmood
article en

Abstract

Mathematical tools are crucial for dealing with uncertainty because they provide a rigorous and logical framework for evaluating, measuring, and making decisions in the presence of ambiguous information. The bipolar complex fuzzy is one of the mathematical methods for simultaneously handling dual aspect and second-dimensional information. Thus, in this script, we propound aggregation operators "partitioned Maclaurin symmetric mean and partitioned dual Maclaurin symmetric mean" within bipolar complex fuzzy set that is bipolar complex fuzzy partitioned Maclaurin symmetric mean and bipolar complex fuzzy partitioned dual Maclaurin symmetric mean, bipolar complex fuzzy weighted partitioned Maclaurin symmetric mean and bipolar complex fuzzy weighted partitioned dual Maclaurin symmetric mean operators. We also propound the related axioms of the invented operators. By employing the deduced aggregation operators, we produce a technique of multiattribute decision making within bipolar complex fuzzy sets to overcome awkward uncertainties. After that, we demonstrate an explanatory example for revealing the significance and practicability of the deduced theory and then we analyze the reliability and legitimacy of the propounded operators by comparing them with some prevailing work.

Scientific ReportsVol. 15(1)
Imam Mohammad ibn Saud Islamic University (SA), University of Management and Technology (PK)
Al-Imam Muhammad Ibn Saud Islamic University
Peace, Justice and strong institutions
Openalex Percentile: Top 91%
Multi-Criteria Decision Making
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Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making — Ibrahim Al-Dayel, Ubaid ur Rehman, et al. · Scientific Reports (2025) | TGRS Research Map | TGRS