Multiple criteria performance evaluation of YouTube mathematical educational videos by IS-TOPSIS
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Multiple criteria performance evaluation of YouTube mathematical educational videos by IS‑TOPSIS Claudia Margarita Acuña‑Soto1 · Vicente Liern2 · Blanca Pérez‑Gladish3
Received: 8 September 2017 / Revised: 9 May 2018 / Accepted: 14 May 2018 © Springer-Verlag GmbH Germany, part of Springer Nature 2018
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. * Blanca Pérez‑Gladish [email protected] Claudia Margarita Acuña‑Soto [email protected] Vicente Liern [email protected] 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
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
3
Economía Cuantitativa, Universidad de Oviedo, Avenida del Cristo, s/n, 33006 Oviedo, Spain
13
C. M. Acuña‑Soto et al.
Keywords MCDM · TOPSIS · Normalization · Ideal · Educational videos · Didactical performance
1 Introduction Real world decision making problems are complex decision problems usually characterized by several conflicting criteria, different preferences and a great diversity of types of data with different degrees of uncertainty, ambiguity and imprecision. Multiple Criteria Decision Aid (MCDA) or Multiple Criteria Decision Making (MCDM) methods are concerned with structuring and solving decision problems involving multiple criteria with either continuous or discrete set of alternatives. In this paper, we are mainly concerned with the ranking of a set of discrete decision alternatives taking into account deci
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