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Multiple criteria performance evaluation of YouTube mathematical educational videos by IS-TOPSIS

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Abstract

In this work, a TOPSIS-based approach is proposed based on the idea of ideal similarity. It considers the ideal solution not necessarily related to the optimum values of the decision criteria, but to any values between the minimum and maximum values of the criteria ranges. The proposed method allows the consideration of one or several decision makers; different types of data (single numerical values, intervals or linguistic variables); different normalization functions describing the importance given by the decision makers to the deviation of alternatives from the ideal solution and different weighting schemes. The procedure also allows the decision maker to decide how much information about the intervals he is willing to take into account (e.g. the expected value, the extremes of the interval or the entire set of values in the intervals). In order to illustrate the practical applicability of the approach we include a real example consisting of the ranking of mathematical educational videos based on six didactical dimensions. The rating of educational videos is of great interest for educators due to their high popularity in Internet, especially in platforms as You Tube which has become one of the most used sources of information nowadays.

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Authors and Affiliations

  1. Laboratorio Iberoamericano para la valoración de procesos educativos de la enseñanza de la matemática (LAPIBE), Departamento de Matemática Educativa, CINVESTAV - Instituto Politécnico Nacional, Av. Instituto Politécnico Nacional 2508, 07360, Mexico City, Mexico

    Claudia Margarita Acuña-Soto

  2. Laboratorio Iberoamericano para la valoración de procesos educativos de la enseñanza de la matemática (LAPIBE), Departamento de Matemáticas para la Economía y la Empresa, Universidad de Valencia, Av. Tarongers, s/n, 46022, Valencia, Spain

    Vicente Liern

  3. Economía Cuantitativa, Universidad de Oviedo, Avenida del Cristo, s/n, 33006, Oviedo, Spain

    Blanca Pérez-Gladish

Authors
  1. Claudia Margarita Acuña-Soto
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  2. Vicente Liern
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  3. Blanca Pérez-Gladish
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Corresponding author

Correspondence to Blanca Pérez-Gladish.

Appendix

Appendix

See Tables 11, 12 and 13.

Table 11 Individual scores and consensual intervals
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Table 12 Individual linguistic rates and consensual rates
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Table 13 Numerical transformation of linguistic labels
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Acuña-Soto, C.M., Liern, V. & Pérez-Gladish, B. Multiple criteria performance evaluation of YouTube mathematical educational videos by IS-TOPSIS. Oper Res Int J 20, 2017–2039 (2020). https://doi.org/10.1007/s12351-018-0405-2

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