Decision Making Problem with Multiple Attribute Group Employing an Array of Singularly Perturbed Differential Equations

Objectives: This study deals with an ensemble of linear singularly perturbed differential equations that has been employed to solve Multiple Attribute Group Decision Making issues on that the weights of the Decision Makers (DMs) are unknown. Methods: Two sophisticated operators-the Intuitionistic Fuzzy Generalised Hybrid Weighted Averaging (IFGHWA) operator as well as the Intuitionistic Fuzzy Weighted Averaging (IFWA) operator—are employed to aid in the course of decision-making. Findings: In order to determine the best course of action, these operators are used to combine intuitionistic fuzzy decision matrices into a collective decision matrix. We can use the newly proposed correlation coefficient method and score function for ranking the best alternative from the available alternatives. Novelty: To demonstrate the efficiency and applicability of the suggested method in resolving MAGDM situations with ambiguous decision maker weights, a computational instance is provided. Numerical illustration is given to show the effectiveness of the proposed approach. Keywords: Intuitionistic Fuzzy Sets (IFSs), Singular Perturbation Problem, IFGHWA operator, IFWA operator, MAGDM

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Publication Details

Journal
Indian Journal of Science and Technology
Published
2025-04-26
DOI
https://doi.org/10.17485/ijst/v18i14.2820
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

Decision Making Problem with Multiple Attribute Group Employing an Array of Singularly Perturbed Differential Equations

M. Manjumari
Indian Journal of Science and Technology
Differential Equations and Numerical Methods
article

Decision Making Problem with Multiple Attribute Group Employing an Array of Singularly Perturbed Differential Equations

M. Manjumari
article en

Abstract

Objectives: This study deals with an ensemble of linear singularly perturbed differential equations that has been employed to solve Multiple Attribute Group Decision Making issues on that the weights of the Decision Makers (DMs) are unknown. Methods: Two sophisticated operators-the Intuitionistic Fuzzy Generalised Hybrid Weighted Averaging (IFGHWA) operator as well as the Intuitionistic Fuzzy Weighted Averaging (IFWA) operator—are employed to aid in the course of decision-making. Findings: In order to determine the best course of action, these operators are used to combine intuitionistic fuzzy decision matrices into a collective decision matrix. We can use the newly proposed correlation coefficient method and score function for ranking the best alternative from the available alternatives. Novelty: To demonstrate the efficiency and applicability of the suggested method in resolving MAGDM situations with ambiguous decision maker weights, a computational instance is provided. Numerical illustration is given to show the effectiveness of the proposed approach. Keywords: Intuitionistic Fuzzy Sets (IFSs), Singular Perturbation Problem, IFGHWA operator, IFWA operator, MAGDM

Indian Journal of Science and TechnologyVol. 18(14)
Openalex Percentile: Top 85%
Differential Equations and Numerical Methods
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