Abstract
In dealing with intrinsically imprecise-valued magnitudes, a common rating scale type is the natural language-based Likert. Along the last decades, fuzzy scales (more concretely, fuzzy linguistic scales/variables and fuzzy ratig scales) have also been considered for rating values of these magnitudes. A comparative descriptive analysis focussed on the variability/dispersion associated with the magnitude depending on the considered rating scale is performed in this study. Fuzzy rating responses are simulated and associated with Likert responses by means of a ‘Likertization’ criterion. Then, each ‘Likertized’ datum is encoded by means of a fuzzy linguistic scale. In this way, with the responses available in the three scales, the value of the different dispersion estimators is calculated and compared among the scales.
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Acknowledgements
The research is this paper has been partially supported by the Spanish Ministry of Economy, Industry and Competitiveness Grant MTM2015-63971-P. Its support is gratefully acknowledged.
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Arellano, I., Sinova, B., de la Rosa de Sáa, S., Lubiano, M.A., Gil, M.Á. (2019). Descriptive Comparison of the Rating Scales Through Different Scale Estimates: Simulation-Based Analysis. In: Destercke, S., Denoeux, T., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Uncertainty Modelling in Data Science. SMPS 2018. Advances in Intelligent Systems and Computing, vol 832. Springer, Cham. https://doi.org/10.1007/978-3-319-97547-4_2
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DOI: https://doi.org/10.1007/978-3-319-97547-4_2
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