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Since ancient times, learning and science developed in parallel resulting from the continuous interplay “questions-answers”. In this context, due to this approach, the process in Pasat Natalia was focused on research of musical abilities side effects and their degree of influence on individual’s multidimensional development. In order to reach an efficient decision-making process, experts were involved to solve an optimization problem linked to reclassifying or supplementing the characteristics set. For this particular case, three criteria were proposed to be considered, each consisting of individual classes of characteristics. Based on Pareto analysis, metrics for each of the local and integrated criteria are presented. Starting with various assumptions and advancing to the obtained results, 4 challenges and 2 remarks, a task was formulated. Using the Churchman-Ackoff method, a “primary” model for quantitative assessment of musical abilities and skills screening, which have a vast impact on overall human development, was designed.
Musical abilities, musical skills, screening, local criteria, integrated additive criteria, multicriteria optimization, mathematical model, decision-maker, “primary” quantitative assessment, weight coefficients, Pareto analysis, Churchman-Ackoff method
[1] Pasat Natalia. (2018). ICT Services for screening of musical abilities and skills, bachelor thesis, Chișinău, 2018, TUM, FCIM, DIIS, Applied Informatics.
[2] Kemeny, J. and Snell, L. (1962). Mathematical Models in the Social Sciences. Ginn, Boston.
[3] Churchman and Ackoff. (1954). The method of successive comparisons.
Mathematical Modelling of the Screening of Musical Abilities and Skills
How to cite this paper: Perebinos Mihail, Pasat Natalia. (2021) Mathematical Modelling of the Screening of Musical Abilities and Skills. Journal of Applied Mathematics and Computation, 5(3), 200-206.
DOI: http://dx.doi.org/10.26855/jamc.2021.09.006