Abstract
Many questionnaires related to Social Sciences, Medical Diagnosis, Control Engineering, etc. are based on the well-known Likert scales. For its statistical data analysis each categorical response is usually encoded by an integer number. In this paper the convenience of allowing respondents to reply by using a free-response format based on the scale of fuzzy numbers is discussed by developing a comparative study through the mean 1-norm error on the representativeness of the corresponding median for the fuzzy and the integer-encoded Likert scales cases.
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de la Rosa de Sáa, S., Van Aelst, S. (2013). Comparing the Representativeness of the 1-norm Median for Likert and Free-response Fuzzy Scales. In: Borgelt, C., Gil, M., Sousa, J., Verleysen, M. (eds) Towards Advanced Data Analysis by Combining Soft Computing and Statistics. Studies in Fuzziness and Soft Computing, vol 285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30278-7_8
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DOI: https://doi.org/10.1007/978-3-642-30278-7_8
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