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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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International Journal of Neutrosophic Science
Full Length Article

Volume 24Issue 4PP: 420-431 • 2024

A Robust MCDM Framework for Cloud Service Selection Using Spherical Fermatean Neutrosophic Bonferroni Mean

P. Roopadevi 1* ,
M. Karpagadevi 1 ,
S. Krishnaprakash 2 ,
Said Broumi 3 ,
S. Gomathi 4
1Department of Mathematics, Sri GVG Visalakshi College for Women-642128, India
2Department of Mathematics, Sri Krishna College of Engineering and Technology,-641008, India
3Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, India
4Department of Mathematics, Dr. Mahalingam College of Engineering and Technology-642003, India
* Corresponding Author.
Received: November 25, 2023 Revised: February 14 Accepted: May 26, 2024

Abstract

This study presents an innovative approach to cloud service provider selection using the spherical Fermatean neutrosophic Bonferroni mean. As organizations increasingly rely on cloud services, selecting the optimal provider becomes critical, necessitating robust multi criteria decision making methods. Traditional approaches often fall short in capturing the diverse perspectives of decision-makers, leading to suboptimal choices. The spherical Fermatean neutrosophic Bonferroni mean addresses this gap by integrating a spherical representation that encompasses membership, non-membership and indeterminacy functions, enhanced by the Bonferroni mean. This structure effectively encapsulates the opinions of all decision makers, offering a comprehensive and balanced perspective. The study evaluates six cloud service providers based on four criteria: cost (nonbeneficiary), performance, security and scalability (beneficiary). Three decision makers with distinct priorities participate in the evaluation, ensuring a thorough assessment. The proposed spherical Fermatean neutrosophic Bonferroni mean method excels in resolving ambiguity and managing risk with greater precision than conventional FNSs, providing a more accurate and effective decision-making framework. A numerical example illustrates the practical application of spherical Fermatean neutrosophic Bonferroni mean, demonstrating its utility in selecting the optimal cloud service provider for an organization.

Keywords

Spherical Fermatean neutrosophic sets Spherical Fermatean neutrosophic Bonferroni mean Extension of neutrosophic sets Extension of Fermatean fuzzy sets Multi criteria decision making

References

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Roopadevi, P., Karpagadevi, M., Krishnaprakash, S., Broumi, Said, Gomathi, S.. "A Robust MCDM Framework for Cloud Service Selection Using Spherical Fermatean Neutrosophic Bonferroni Mean." International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 4, 2024, pp. 420-431. DOI: https://doi.org/10.54216/IJNS.240432
Roopadevi, P., Karpagadevi, M., Krishnaprakash, S., Broumi, S., Gomathi, S. (2024). A Robust MCDM Framework for Cloud Service Selection Using Spherical Fermatean Neutrosophic Bonferroni Mean. International Journal of Neutrosophic Science, Volume 24(Issue 4), 420-431. DOI: https://doi.org/10.54216/IJNS.240432
Roopadevi, P., Karpagadevi, M., Krishnaprakash, S., Broumi, Said, Gomathi, S.. "A Robust MCDM Framework for Cloud Service Selection Using Spherical Fermatean Neutrosophic Bonferroni Mean." International Journal of Neutrosophic Science Volume 24, no. Issue 4 (2024): 420-431. DOI: https://doi.org/10.54216/IJNS.240432
Roopadevi, P., Karpagadevi, M., Krishnaprakash, S., Broumi, S., Gomathi, S. (2024) 'A Robust MCDM Framework for Cloud Service Selection Using Spherical Fermatean Neutrosophic Bonferroni Mean', International Journal of Neutrosophic Science, Volume 24(Issue 4), pp. 420-431. DOI: https://doi.org/10.54216/IJNS.240432
Roopadevi P, Karpagadevi M, Krishnaprakash S, Broumi S, Gomathi S. A Robust MCDM Framework for Cloud Service Selection Using Spherical Fermatean Neutrosophic Bonferroni Mean. International Journal of Neutrosophic Science. 2024;Volume 24(Issue 4):420-431. DOI: https://doi.org/10.54216/IJNS.240432
P. Roopadevi, M. Karpagadevi, S. Krishnaprakash, S. Broumi, S. Gomathi, "A Robust MCDM Framework for Cloud Service Selection Using Spherical Fermatean Neutrosophic Bonferroni Mean," International Journal of Neutrosophic Science, vol. Volume 24, no. Issue 4, pp. 420-431, 2024. DOI: https://doi.org/10.54216/IJNS.240432
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