International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 24 , Issue 4 , PP: 420-431, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

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

P. Roopadevi 1 , M. Karpagadevi 2 , S. Krishnaprakash 3 * , Said Broumi 4 , S. Gomathi 5 *

  • 1 Department of Mathematics, Sri GVG Visalakshi College for Women-642128, India - (roopakodish@gmail.com)
  • 2 Department of Mathematics, Sri GVG Visalakshi College for Women-642128, India - (karpagadevi.n@gmail.com)
  • 3 Department of Mathematics, Sri Krishna College of Engineering and Technology,-641008, India - (mskrishnaprakash@gmail.com)
  • 4 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, India - (broumisaid78@gmail.com)
  • 5 Department of Mathematics, Dr. Mahalingam College of Engineering and Technology-642003, India - (gomathiprakash2013@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.240432

    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

    [1] Atanassov, K. T. (2012). On intuitionistic fuzzy sets theory (Vol. 283). Springer.

    [2] Bonferroni, C. (1950). Sulle medie multiple di potenze. Bollettino dell’Unione Matematica Italiana, 5(3- 4), 267-270.

    [3] Broumi, S., Sundareswaran, R., Shanmugapriya, M., Bakali, A., & Talea, M. (2022). Theory and applications of Fermatean neutrosophic graphs. Neutrosophic sets and systems, 50, 248-286.

    [4] Broumi, S., Mohanaselvi, S., Witczak, T., Talea, M., Bakali, A., & Smarandache, F. (2023). Complex fermatean neutrosophic graph and application to decision making. Decision Making: Applications in Management and Engineering, 6(1), 474-501.

    [5] Broumi, S., Sundareswaran, R., Shanmugapriya, M., Singh, P. K., Voskoglou, M., & Talea, M. (2023). Faculty Performance Evaluation through Multi-Criteria Decision Analysis Using Interval-Valued Fermatean Neutrosophic Sets. Mathematics, 11(18), 3817.

    [6] Broumi, S., S. krishna Prabha, & Vakkas Uluc¸ay. (2023). Interval-Valued Fermatean Neutrosophic Shortest Path Problem via Score Function. Neutrosophic Systems With Applications, 11, 1–10. https://doi.org/10.61356/j.nswa.2023.83

    [7] Gomathi, S., Krishnaprakash, S., Karpagadevi, M., & Broumi, S. (2023). Cubic Spherical Neutrosophic Sets. International Journal of Neutrosophic Science. 21(4), 172-72.

    [8] Kishorekumar, M., Karpagadevi, M., Mariappan, R., Krishnaprakash, S., & Revathy, A. (2023, February). Interval-valued picture fuzzy geometric Bonferroni mean aggregation operators in multiple attributes. In 2023 Fifth International Conference on Electrical, Computer and Communication Technologies (ICECCT) (pp. 1-8). IEEE.

    [9] Kishorekumar, M., Karpagadevi, M., Krishnaprakash, S., Mariappan, R., & Ramesh, R. (2024, June). Interval-valued picture fuzzy topological spaces and application of interval-valued picture fuzzy sets in multi criteria decision-making. In AIP Conference Proceedings (Vol. 3122, No. 1). AIP Publishing.

    [10] Krishnaprakash, S., Mariappan, R., & Broumi, S. (2024). Cubic Spherical Neutrosophic Sets and Selection of Electric Truck Using Cosine Similarity Measure. Neutrosophic Sets and Systems, 67(1), 15.

    [11] Mariappan, R., Ramesh, R., Kanaksindhu, K., & Krishnaprakash, S. (2024, June). Picture fuzzy soft topological spaces and its application on decision making. In AIP Conference Proceedings (Vol. 3122, No. 1). AIP Publishing.

    [12] Revathy, A., Inthumathi, V., Krishnaprakash, S., & Kishorekumar, M. (2023, February). Fermatean fuzzy normalised Bonferroni mean operator in multi criteria decision making on selection of electric bike. In 2023 Fifth International Conference on Electrical, Computer and Communication Technologies (ICECCT) (pp. 1-7). IEEE.

    [13] Revathy A., Inthumathi V., Krishnaprakash S., Anandakumar H., Arifmohammed K. M., The Characteristics of Circular Fermatean Fuzzy Sets and Multicriteria Decision-Making Based on the FermateanFuzzy t-Norm and t-Conorm. Applied Computational Intelligence & Soft Computing, 2024.

    [14] Roopadevi, P., Karpagadevi, M., Krishnaprakash, S., Broumi, & S.,Gomathi, S. Comprehensive Decision-Making with Spherical Fermatean Neutrosophic Sets in Structural Engineering. International Journal of Neutrosophic Science. (Submitted).

    [15] Roopadevi, P., Karpagadevi, M., Arifmohammed, K. M., Krishnaprakash, S., & Broumi, S., (2024). Elliptic Intuitionistic Fuzzy Aggregation Operators and Their Applications in MCDM.

    [16] Senapati, T., & Yager, R. R. (2020). Fermatean fuzzy sets. Journal of ambient intelligence and humanized computing, 11, 663-674.

    [17] Smarandache, F. (1998). Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis & synthetic analysis.

    [18] Sweety, A.C., & Jansi, R. (2021). Fermatean Neutrosophic Sets. Int. J. Adv. Res. Comput. Commun. Eng. 10(6), 24-27. https://doi.org/10.17148/IJARCCE.2021.10605

    [19] Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.

    Cite This Article As :
    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. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 420-431, 2024. DOI: https://doi.org/10.54216/IJNS.240432