According to the ideas of the Bologna process, the formation of a single European higher education space is currently ongoing. The common space of higher education implies both the presence of foreign students in higher educational institutions and the obtaining of employment opportunities for graduates of higher educational institutions in the European and world labor market. In connection with the situation, the Russian educational system is faced with the task of developing and supporting the competitiveness of its system of higher professional education. A key element in the system of higher education is a higher educational institution. It is important to determine the position of a higher educational institution in the market of educational services. The purpose of this work is the development of approaches to assess the competitiveness of a higher educational institution. The competitiveness of a higher educational institution is characterized primarily by the quality of educational services. To assess the quality of educational services, the quality of knowledge received by students, it is necessary to solve the problem of determining significant indicators. Assessing the quality of educational services is complicated in that there is an influence of indicators of various nature with varying degrees of influence. In addition, indicators that have an impact can be either numerical or non-numerical in nature. The presence of non-numeric indicators complicates the task. To accomplish the task of assessing the quality of educational services, a study was conducted to identify indicators that have the greatest impact on the quality of the educational process. It was found that the needs of the labor market should be taken into account, the quality of the training technologies used, the quality of the educational and methodological complex used in the educational process, the equipment of classrooms and laboratories, and the quality of the teaching staff. In this paper, an approach is proposed for assessing the quality of students' knowledge, based on the use of a neuro-fuzzy inference system. A set-theoretical model has been formed to describe indicators that affect the quality of students' knowledge. The content of each indicator is disclosed. The proposed approach for constructing a model for assessing the quality of student knowledge allows us to obtain a numerical characteristic.