ALGEBRAIC APPROACH TO SYSTEM KNOWLEDGE REPRESENTATION IN INTELLIGENT AUTOMATED SYSTEM OF TEACHING AND KNOWLEDGE CONTROL


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Abstract

Knowledge intellectualization is one of the components of modern economic development of the country and the main task of the educational system in the whole. The essence of the expected results is reflected in the positive dynamics of new knowledge volume and creation of high-tech educational environment, where the risks of low-quality learning results are minimal. This aspect contributes to the development of new educational systems management tools in their application interpretation. The ability to use the expert systems for quality of training evaluation is one of the highlights of knowledge intellectualization. It is an understudied and not widely interpreted line of ​​applied research. The authors consider the new ideas of designing and development of intelligent automated teaching and control systems which allow practical implementation of new educational technologies and means of educational communications, for example, E-learning technologies.

Basing on the new theory of systems formalization based on the use of algebraic methods, the authors formulated and proved the principles of expert training systems improvement, and considered the requirements for the intelligent automated system of evaluation of knowledge control results. New methods considered in this paper are the further development of the conclusions of famous scientists: A.I. Maltsev – in the algebraic systems theory, A.G. Kurosh – in the theory of groups, and Y.L. Yershov – in the theory of serving embeddings.

The authors suggest using an algorithm for building up the knowledge base and mathematical model of the exam, which can be classified by dimensionality formats: 1D, 2D, 3D, ..., nD.

The purpose of the research paper is the familiarization of wide audience with the new methodology of training and control of generated knowledge on the base of instrument of expert technologies and algebraic methods allowing considering the learned material quality characteristics.

About the authors

Natalya Aleksandrovna Serdyukova

Plekhanov Russian University of Economics, Moscow

Author for correspondence.
Email: nsns25@yandex.ru

Doctor of Sciences (Economics), Associate Professor, Professor of Chair “Finance and Prices”

Russian Federation

Vladimir Ivanovich Serdyukov

Bauman Moscow State Technical University, Moscow

Email: wis24@yandex.ru

Doctor of Sciences (Engineering), Professor, Head of Laboratory

Russian Federation

Lyudmila Vladimirovna Glukhova

Tatishchev Volzhsky University (Institute), Togliatti

Email: prof.glv@ya.ru

Doctor of Sciences (Economics), Professor, Professor of Chair “Management of organization”

Russian Federation

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