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A novel scheme to detect the best cloud service provider using logarithmic operational law in generalized spherical fuzzy environment

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Abstract

Generalized spherical fuzzy number (GSFN) is an extension of spherical fuzzy number (SFN) which deals the uncertainties involved in the real-life problems in much better way than other fuzzy numbers. So far, some fundamental operational laws of GSFNs are characterized, yet excluding the logarithmic operation. In this manuscript, we have defined and discussed various algebraic properties of logarithmic operational law (LOL) for GSFN where the logarithmic base \(\delta \) is a positive real number. Moreover, we have developed weighted averaging and weighted geometric aggregation operators and utilize these aggregation operators to initiate a multi-criteria group decision making (MCGDM) technique in the generalized spherical fuzzy (GSF) environment, which has been used to solve a problem of cloud service management. We have indicated the utility and reliability of the proposed MCGDM technique through sensitivity analysis. Finally, a comparative study has been presented with the help of a real data set to justify the rationality and efficiency of our proposed method with the existing methods.

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Acknowledgements

In this article, the study of Tipu Sultan Haque is funded by Council of Scientific & Industrial Research (CSIR), India (File no.-08/003(0136)/2019-EMR-I).

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, India

    Tipu Sultan Haque & Shariful Alam

  2. Department of Engineering Science, Academy of Technology, Adisaptagram, Hooghly, India

    Avishek Chakraborty

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  1. Tipu Sultan Haque
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  3. Shariful Alam
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Haque, T.S., Chakraborty, A. & Alam, S. A novel scheme to detect the best cloud service provider using logarithmic operational law in generalized spherical fuzzy environment. Knowl Inf Syst 65, 3695–3724 (2023). https://doi.org/10.1007/s10115-023-01873-y

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