Application of Neutrosophic Sets in Multi Attribute Decision Making

The selection of an optimal hospital for healthcare services is a complex decision-making problem due to the involvement of multiple, often conflicting, criteria such as quality of care, infrastructure, staff expertise, cost, and patient satisfaction. This paper presents an innovative approach for hospital selection using a hybrid decision-making framework combining neutrosophic sets, entropy weight, and the Multi-Attribute Decision-Making (MADM) method. Neutrosophic sets are employed to handle the inherent uncertainty and indeterminacy in hospital evaluation criteria, allowing for more flexible and accurate representation of data that may not be fully precise or certain. The entropy weight method is applied to objectively determine the significance of each evaluation criterion, ensuring that the decision process is not biased by subjective judgments. Finally, the MADM technique integrates the weighted criteria into a comprehensive decision model to rank hospitals based on their overall performance. The proposed model is tested with a real-world dataset of hospitals, demonstrating its effectiveness in selecting the most suitable healthcare facility while considering diverse factors. The results highlight the potential of combining neutrosophic sets with advanced decision-making techniques for improving decision accuracy and reliability in complex healthcare decisions.

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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2025-03-26
DOI
https://doi.org/10.52783/cana.v32.4545
Primary Topic
Multi-Criteria Decision Making
Type
article
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article

Application of Neutrosophic Sets in Multi Attribute Decision Making

R. Ramesh
Communications on Applied Nonlinear Analysis
Multi-Criteria Decision Making
article

Application of Neutrosophic Sets in Multi Attribute Decision Making

R. Ramesh
article en

Abstract

The selection of an optimal hospital for healthcare services is a complex decision-making problem due to the involvement of multiple, often conflicting, criteria such as quality of care, infrastructure, staff expertise, cost, and patient satisfaction. This paper presents an innovative approach for hospital selection using a hybrid decision-making framework combining neutrosophic sets, entropy weight, and the Multi-Attribute Decision-Making (MADM) method. Neutrosophic sets are employed to handle the inherent uncertainty and indeterminacy in hospital evaluation criteria, allowing for more flexible and accurate representation of data that may not be fully precise or certain. The entropy weight method is applied to objectively determine the significance of each evaluation criterion, ensuring that the decision process is not biased by subjective judgments. Finally, the MADM technique integrates the weighted criteria into a comprehensive decision model to rank hospitals based on their overall performance. The proposed model is tested with a real-world dataset of hospitals, demonstrating its effectiveness in selecting the most suitable healthcare facility while considering diverse factors. The results highlight the potential of combining neutrosophic sets with advanced decision-making techniques for improving decision accuracy and reliability in complex healthcare decisions.

Communications on Applied Nonlinear AnalysisVol. 32(9s)
Openalex Percentile: Top 93%
Multi-Criteria Decision Making
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