Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case Study

Industrial accidents pose significant risks to human lives, the environment, and economic stability. This study presents a comparative analysis of three plithogenic frameworks—Neutrosophic soft sets, Pythagorean neutrosophic soft sets, and Fermatean neutrosophic soft sets—aiming to model and analyze...

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Main Authors: Smruthi P, Abinaya S, Dharunya S, R. Sun dareswaran, Shanmugapriya M, Said Broumi
Format: Article
Language:English
Published: University of New Mexico 2024-11-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/33Sundareswaran.pdf
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author Smruthi P,
Abinaya S
Dharunya S
R. Sun dareswaran
Shanmugapriya M
Said Broumi
author_facet Smruthi P,
Abinaya S
Dharunya S
R. Sun dareswaran
Shanmugapriya M
Said Broumi
author_sort Smruthi P,
collection DOAJ
description Industrial accidents pose significant risks to human lives, the environment, and economic stability. This study presents a comparative analysis of three plithogenic frameworks—Neutrosophic soft sets, Pythagorean neutrosophic soft sets, and Fermatean neutrosophic soft sets—aiming to model and analyze industrial accidents. The primary objective is to evaluate the effectiveness of these soft sets in handling the uncertainties, complexities, and imprecisions inherent in accident data. Utilizing Dhar's (2021) algorithm for Neutrosophic soft matrices, we introduce a new parameter called a risk score, which consolidates various values for each industry or parameter into a singular magnitude. Our findings indicate that neutrosophic soft sets are more accurate than Pythagorean neutrosophic soft sets and Fermatean neutrosophic soft sets. The study concludes that adopting these advanced frameworks can enhance decision-making processes and safety protocols, thereby mitigating the adverse impacts of industrial accidents.
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institution Kabale University
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publisher University of New Mexico
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series Neutrosophic Sets and Systems
spelling doaj-art-19a1930f4fbc43b2a78d9e56c93e5e792025-08-22T12:43:17ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2024-11-017337839910.5281/zenodo.13989215Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case StudySmruthi P, Abinaya SDharunya SR. Sun dareswaranShanmugapriya MSaid BroumiIndustrial accidents pose significant risks to human lives, the environment, and economic stability. This study presents a comparative analysis of three plithogenic frameworks—Neutrosophic soft sets, Pythagorean neutrosophic soft sets, and Fermatean neutrosophic soft sets—aiming to model and analyze industrial accidents. The primary objective is to evaluate the effectiveness of these soft sets in handling the uncertainties, complexities, and imprecisions inherent in accident data. Utilizing Dhar's (2021) algorithm for Neutrosophic soft matrices, we introduce a new parameter called a risk score, which consolidates various values for each industry or parameter into a singular magnitude. Our findings indicate that neutrosophic soft sets are more accurate than Pythagorean neutrosophic soft sets and Fermatean neutrosophic soft sets. The study concludes that adopting these advanced frameworks can enhance decision-making processes and safety protocols, thereby mitigating the adverse impacts of industrial accidents.https://fs.unm.edu/NSS/33Sundareswaran.pdfindustrial accidentspythagorean neutrosophic soft setsfermatean neutrosophic soft setsuncertainty handlingsafety protocols
spellingShingle Smruthi P,
Abinaya S
Dharunya S
R. Sun dareswaran
Shanmugapriya M
Said Broumi
Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case Study
Neutrosophic Sets and Systems
industrial accidents
pythagorean neutrosophic soft sets
fermatean neutrosophic soft sets
uncertainty handling
safety protocols
title Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case Study
title_full Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case Study
title_fullStr Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case Study
title_full_unstemmed Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case Study
title_short Comparative Analysis of Neutrosophic, Pythagorean neutrosophic, and Fermatean neutrosophic Soft Matrices in the context of Industrial Accidents: A Case Study
title_sort comparative analysis of neutrosophic pythagorean neutrosophic and fermatean neutrosophic soft matrices in the context of industrial accidents a case study
topic industrial accidents
pythagorean neutrosophic soft sets
fermatean neutrosophic soft sets
uncertainty handling
safety protocols
url https://fs.unm.edu/NSS/33Sundareswaran.pdf
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