Comparing the Representativeness of the 1-norm Median for Likert and Free-response Fuzzy Scales

  • Sara de la Rosa de SáaEmail author
  • Stefan Van Aelst
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 285)


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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Authors and Affiliations

  1. 1.Departamento de Estadística e I.O. y D.M.Universidad de OviedoOviedoSpain
  2. 2.Department of Applied Mathematics and Computer ScienceGhent UniversityGentBelgium

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