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A novel kernel principal component analysis with application disaster preparedness of hospital: interval-valued Fermatean fuzzy set approach

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Abstract

In an interval-valued Fermatean fuzzy environment, a group decision-making issue relating to data on the disaster preparedness of hospitals is presented in this presentation. Interval-valued Fermatean fuzzy sets have the benefit of being able to accurately reflect the assessment data provided by decision-makers through both qualitative and quantitative elements for the examination of “disaster preparedness of hospitals” challenges. The conventional decision-making techniques will falter, nevertheless, if the dimension and nonlinear connection of the choice data keep expanding. To lower the dimensionality for nonlinear characteristics, we build the interval-valued Fermatean fuzzy linguistic kernel principal component analysis model. In the last part of the study, an illustrative example is given about the method proposed and the assessment of the disaster preparedness of the university hospital according to the hospital management cycle and the detection of its deficiencies. After making a comparison analysis and expressing the advantages of the method, we explained the theoretical, managerial, and political implications of the evaluations to be made with the method we recommend in all hospitals, based on the illustrative example given.

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Authors and Affiliations

  1. Cerrahpasa Medicine Faculty, Istanbul University - Cerrahpasa, Fatih, Istanbul, Turkey

    Murat Kirişci

  2. Istanbul Commerce University, Istanbul, Turkey

    Necip Simsek

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  1. Murat Kirişci
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  2. Necip Simsek
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MK and NS wrote the main manuscript text. All authors reviewed the manuscript.

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Correspondence to Murat Kirişci.

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Kirişci, M., Simsek, N. A novel kernel principal component analysis with application disaster preparedness of hospital: interval-valued Fermatean fuzzy set approach. J Supercomput 79, 19848–19878 (2023). https://doi.org/10.1007/s11227-023-05395-w

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