The 5-Item Likert Scale and Percentage Scale Correspondence with Implications for the Use of Models with (Fuzzy) Linguistic Variables

Jiri Mazurek, Cristina Pérez Rico, Carlos Fernández García, Jean-Pierre Magnot () and Tristan Magnot
Additional contact information
Cristina Pérez Rico: EPN - Escuela Politécnica Nacional
Carlos Fernández García: UDLA - Universidad de Las Américas [Ecuador]
Jean-Pierre Magnot: LAREMA - Laboratoire Angevin de Recherche en Mathématiques - UA - Université d'Angers - CNRS - Centre National de la Recherche Scientifique
Tristan Magnot: AMU IMPGT - Institut de management public et de gouvernance territoriale - AMU - Aix Marseille Université

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Abstract: The aim of this paper is to examine how people perceive correspondence between the 5-item Likert scale and the percentage scale (the LS-PS correspondence thereinafter). Are all five items of the Likert scale equidistant? Do people use the same scale when evaluating different objects? Are men and women different? Are people from different countries / cultures different? The method of the study was a questionnaire with 661 participating respondents altogether from the Czech Republic, Ecuador, and France. The results indicate that the 5-item Likert scale is neither equidistant, nor symmetrical. Furthermore, there are (highly) statistically significant differences in the LS-PS correspondence with respect to location, age, or gender of respondents. The results can be used as an input for more precise decision-making modeling associated with (fuzzy) linguistic variables.

Date: 2021
Note: View the original document on HAL open archive server: https://hal.science/hal-03194889v1
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Citations: View citations in EconPapers (1)

Published in Revista de Métodos Cuantitativos para la Economía y la Empresa, 2021, 31, pp.3-16. ⟨10.46661/revmetodoscuanteconempresa.4010⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03194889

DOI: 10.46661/revmetodoscuanteconempresa.4010

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