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The Ordinal Controversy and the Fuzzy Inference System Through an Application and Simulation to Teaching Activity Evaluation

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Computational Intelligence (IJCCI 2014)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 620))

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Abstract

The handling of ordinal variables presents many difficulties in both the measurements phase and the statistical data analysis. Many efforts have been made to overcome them. An alternative approach to traditional methods used to process ordinal data has been developed over the last two decades. It is based on a fuzzy inference system and is presented, here, applied to the student evaluations of teaching data collected via Internet in Modena, during the academic year 2009/10, by a questionnaire containing items with a four-point Likert scale. The scores emerging from the proposed fuzzy inference system proved to be approximately comparable to scores obtained through the practical, but questionable, procedure based on the average of the item value labels. The fuzzification using a number of membership functions smaller than the number of modalities of input variables yielded outputs that were closer to the average of the item value labels. The Center-of-Area defuzzification method showed good performances and lower dispersion around the mean of the value labels.

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Authors and Affiliations

  1. Department of Economics Marco Biagi, University of Modena and Reggio Emilia, Viale Berengario 51, Modena, MO, Italy

    Michele Lalla & Tommaso Pirotti

Authors
  1. Michele Lalla
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  2. Tommaso Pirotti
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Correspondence to Tommaso Pirotti .

Editor information

Editors and Affiliations

  1. Ingenería Informática, Escuela Técnica Superior de, Granada, Spain

    Juan Julian Merelo

  2. aSEEB-ISR-IST, Technical University of Lisbon (IST), Lisbon, Portugal

    Agostinho Rosa

  3. Facultad de Informática, University of Murcia, Murcia, Spain

    José M. Cadenas

  4. University of Coimbra, Coimbra, Portugal

    António Dourado

  5. Images, Signals and Intelligence, University PARIS-EST Créteil (UPEC), Créteil, France

    Kurosh Madani

  6. Instituto Politécnico de Setúbal (IPS), Setúbal, Portugal

    Joaquim Filipe

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Lalla, M., Pirotti, T. (2016). The Ordinal Controversy and the Fuzzy Inference System Through an Application and Simulation to Teaching Activity Evaluation. In: Merelo, J.J., Rosa, A., Cadenas, J.M., Dourado, A., Madani, K., Filipe, J. (eds) Computational Intelligence. IJCCI 2014. Studies in Computational Intelligence, vol 620. Springer, Cham. https://doi.org/10.1007/978-3-319-26393-9_12

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  • DOI: https://doi.org/10.1007/978-3-319-26393-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26391-5

  • Online ISBN: 978-3-319-26393-9

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