The method for evaluation of educational environment subjects' performance based on the calculation of volumes of m­simplexes

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.126287

Keywords:

m-simplex, rating of higher educational institution, evaluation of subject of educational environment, Cayley-Menger determinant

Abstract

We propose the method for comprehensive performance evaluation of subjects of educational environments, specifically higher educational institutions, based on calculation of generalized volume of the m-simplex. The vertices of the m-simplex are found based on performance scores of subjects of educational environments by different categories. To find a comprehensive performance score of subjects of educational environments, it is proposed to calculate generalized volume of the constructed m-simplex, based on calculation of the Cayley-Menger determinant. The numerical methods for calculation of this determinant for different cases of location of vertices of m-simplex were considered.

A list of five major categories of evaluation of higher education institutions was compiled and selection of indicators for these categories was performed. The method of comprehensive performance evaluation of the subjects of educational environments based on calculation of generalized volume of m-simplex was verified in the developed information-analytical system. This method was compared with the ideal point method and the weighed scores method. The feature of the proposed method is its self-sufficiency, because the method does not require solution of ancillary problems in calculation of a comprehensive score, such as selection of weight coefficients and the ideal point, involvement of experts, etc. It was shown that the proportional changes in a comprehensive score, calculated by the proposed method, correspond to small changes of certain categories. The method of setting a tendency of activity development of subjects of educational environments by calculating the derivative of a comprehensive score in time was presented.

The methods for performance evaluation of subjects of educational environments can be used in scientific and educational institutions, as well as in private companies that are engaged in creation of high-tech applied information technologies

Author Biographies

Alexander Kuchansky, Kyiv National University of Construction and Architecture Povitroflotsky ave., 31, Kyiv, Ukraine, 03037

PhD, Associate Professor

Department of Cybersecurity and Computer Engineering

Yurii Andrashko, State Higher Educational Institution «Uzhhorod National University» Narodna sq., 3, Uzhhorod, Ukraine, 88000

Lecturer

Department of System Analysis and Optimization Theory

Andrii Biloshchytskyi, Taras Shevchenko National University of Kyiv Volodymyrska str., 60, Kyiv, Ukraine, 01033

Doctor of Technical Sciences, Professor, Head of Department

Department of Information Systems and Technologies

Elena Danchenko, University of Economics and Law "KROK" Laherna str., 30-32, Kyiv, Ukraine, 03113

Doctor of Technical Sciences, Associate Professor, Head of Department

Department of Business Administration and Project Management

Oleg Ilarionov, Taras Shevchenko National University of Kyiv Volodymyrska str., 60, Kyiv, Ukraine, 01033

PhD, Associate Professor

Department of Intellectual and Information Systems

Igor Vatskel, Taras Shevchenko National University of Kyiv Volodymyrska str., 60, Kyiv, Ukraine, 01033

Postgraduate student

Department of Information Systems and Technologies

Tetyana Honcharenko, Kyiv National University of Construction and Architecture Povitroflotsky ave., 31, Kyiv, Ukraine, 03037

Senior Lecturer

Department of Information Technologies

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Published

2018-03-16

How to Cite

Kuchansky, A., Andrashko, Y., Biloshchytskyi, A., Danchenko, E., Ilarionov, O., Vatskel, I., & Honcharenko, T. (2018). The method for evaluation of educational environment subjects’ performance based on the calculation of volumes of m­simplexes. Eastern-European Journal of Enterprise Technologies, 2(4 (92), 15–25. https://doi.org/10.15587/1729-4061.2018.126287

Issue

Vol. 2 No. 4 (92) (2018): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2018 Alexander Kuchansky, Yurii Andrashko, Andrii Biloshchytskyi, Elena Danchenko, Oleg Ilarionov, Igor Vatskel, Tetyana Honcharenko

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