Mathematical model of competition in the educational services market

Authors

  • Igor Ivanov State University of Milagro image/svg+xml
  • Rosa Stativko Belgorod Shukhov State Technological University

DOI:

https://doi.org/10.70833/rseisa20item778

Keywords:

Competitiveness, Educational services, Mathematical model, University rankings, Fuzzy set theory

Abstract

This paper develops a holistic mathematical model to evaluate competition in the educational services market, simultaneously considering internal and external factors that determine institutional competitiveness. Based on a review of contemporary theories of competitiveness, an analytical structure adapted to the educational context is proposed. The model introduces an innovative methodological approach based on fuzzy set theory, which allows for the quantification of traditionally qualitative variables, such as the uniqueness of the degree programs offered, labor market demand for graduates, and relative educational costs. We posit that the competitiveness of an educational institution depends on the internal quality of the service and market environment competitiveness, expressed as a function of three criteria: uniqueness, demand, and price of educational services. The result is a quantitative competitiveness index for institutions that facilitates objective comparisons between institutions and reduces the subjectivity inherent in traditional rankings. This model offers a flexible tool applicable to different national or regional contexts, contributing to the formulation of more transparent educational policies oriented toward strengthening the quality, efficiency, and equity of the higher education system.

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Author Biographies

  • Igor Ivanov, State University of Milagro

    Igor Ivanov obtuvo una licenciatura en Ingeniería Matemática Aplicada por la Universidad Nacional Aeroespacial (Járkov, Ucrania). Obtuvo su doctorado en Informática por la Universidad Tecnológica Estatal de Belgorod (Belgorod, Rusia). Trabajó durante muchos años en universidades de Ucrania, Rusia y Ecuador, y fue director del Departamento de Tecnología de la Información de Belgorod. El es docente investigador de la Facultad de Ciencia e Ingenería de la universidad estatal de Milagro; Ecuador. Es autor de varios libros de texto sobre modelización de sistemas y teoría de la información. Sus intereses de investigación incluyen la tecnología de la información en la educación y la modelización de procesos sociales. Igor Ivanov es miembro del consejo editorial y revisor de varias revistas científicas en España y Ecuador.

  • Rosa Stativko, Belgorod Shukhov State Technological University

    Rosa Stativko obtuvo su título de ingeniera en la Universidad Nacional Aeroespacial (Járkov, Ucrania) y su doctorado en Ciencias Técnicas en la Universidad Estatal del Suroeste (Kursk, Rusia). Es profesora en la Facultad de Tecnología de la Información y Sistemas de Control de la Universidad Tecnológica Estatal de Belgorod, Rusia. Sus investigaciones y publicaciones están relacionadas con el campo de la modelización económico-matemática.

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Published

2026-03-27

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Section

Research Articles

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How to Cite

Mathematical model of competition in the educational services market. (2026). Journal on Studies and Research of Academic Knowledge, 20, e2026008. https://doi.org/10.70833/rseisa20item778