ALGEBRAIC APPROACH TO SYSTEM KNOWLEDGE REPRESENTATION IN INTELLIGENT AUTOMATED SYSTEM OF TEACHING AND KNOWLEDGE CONTROL
- Authors: Serdyukova N.A.1, Serdyukov V.I.2, Glukhova L.V.3
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Affiliations:
- Plekhanov Russian University of Economics, Moscow
- Bauman Moscow State Technical University, Moscow
- Tatishchev Volzhsky University (Institute), Togliatti
- Issue: No 3-2 (2015)
- Pages: 328-335
- Section: Educational Sciences
- URL: https://vektornaukitech.ru/jour/article/view/385
- DOI: https://doi.org/10.18323/2073-5073-2015-3-328-335
- ID: 385
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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 FederationVladimir Ivanovich Serdyukov
Bauman Moscow State Technical University, Moscow
Email: wis24@yandex.ru
Doctor of Sciences (Engineering), Professor, Head of Laboratory
Russian FederationLyudmila Vladimirovna Glukhova
Tatishchev Volzhsky University (Institute), Togliatti
Email: prof.glv@ya.ru
Doctor of Sciences (Economics), Professor, Professor of Chair “Management of organization”
Russian FederationReferences
- Serdyukova N., Serdyukov V. The new scheme of a formalization of an expert system in teaching. ICEE/ICIT. Proceedings, 2014, no. 32, pp. 41–56.
- Kurakin D.V. Working-out of proposals for the development of information and communication infrastructure management of science innovation sphere. Informati-zatsiya obrazovaniya i nauki, 2013, no. 2, pp. 31–38.
- Nadezhdin E.N., Smirnova E.E. Metody modelirovaniya i optimizatsii integrirovannykh sistem upravleniya organizatsionno-tekhnologicheskimi protsessami v obrazovanii [Methods of simulation and optimization of integrated systems of man-agement of organizational-technological processes in education]. Tula, Tulskiy gos. universitet Publ., 2013, 250 p.
- Mesarovich M., Takakhara Ya. Obshchaya teoriya sistem: matematicheskie osnovy [General theory of systems: mathematical basis]. Moscow, Mir Publ., 1978, 311 p.
- Mesarovich M., Mako D., Takakhara I. Teoriya ierarkhicheskikh mnogourov-nevykh sistem [Theory of hierarchic multilevel systems]. Moscow, Mir Publ., 1973, 342 p.
- Maltsev A.I. Algebraicheskie sistemy [Algebraic systems]. Moscow, Nauka Publ., 1970, 392 p.
- Kurosh A.G. Teoriya grupp [Group theory]. Moscow, Nauka Publ., 1967, 648 p.
- Ershov Yu.L. Tractability of elementary theories of some classes of Abelian groups. Algebra i logika, 1963, vol. 1, no. 6, pp. 37–41.
- Serdyukova N.A. About the purity extensions. Algebra i logika, 1991, vol. 30, no. 4, pp. 432–456.
- Kurosh A.G. Nonassociative free algebras and free products of algebras. Ma-tematicheskiy sbornik, 1947, vol. 20, pp. 239–262.
- Shirshov A.I. Subalgebras of free Abelian and free anticommutative algebras. Ma-tematicheskiy sbornik, 1954, vol. 34, no. 1, pp. 81–88.
- Uemov A.I. Sistemniy podkhod i obshchaya teoriya sistem [System approach and general theory of systems]. Moscow, Mysl Publ., 1978, 339 p.
- Sadovsky V.N. Sistemniy podkhod i obshchaya teoriya sistem: osnovnye problemy i perspektivy razvitiya [System approach and general theory of systems: main issues and development prospects]. Moscow, Sistemnye issledovaniya Publ., 1987, 454 p.
- Glukhova L.V. Teoreticheskie osnovy strukturnogo analiza i sinteza [Theoretical basics of structural analysis and synthesis]. Moscow, Institut kommertsii i prava Publ., 2007, 122 p.
- Serdyukova N.A. Optimizatsiya nalogovoy sistemy Rossii [Optimization of taxa-tion system of Russia]. Moscow, Akademiya byudzheta i kaznacheystv Publ., 2002, part 1, 189 p.
- Muratov A.S. Synergism of organization in the “spotlight” of harmonization ap-proach. Upravlenie ekonomicheskimi sistemami: elektronniy nauchniy zhurnal, 2012, no. 2, p. 34.
- Glukhova L.V., Serdyukova N.A. Multiagent model of the state innovation sys-tem management. Nauchno-issledovatelskiy finansoviy institut. Finansoviy zhurnal, 2014, no. 2, pp. 81–86.
- Andreev E.P. Measurement as a tool of learning. Voprosy filosofii, 1982, no. 9, pp. 87–94.
- Ruchkin V.N., Romanchuk V.A., Fulin V.A. Kognitologiya i iskusstvenniy intel-lekt [Knowledge engineering and artificial intellect]. Ryazan, INTERMETA Publ., 2012, 260 p.
- Kampen E.R. van. On the connection between the fundamental groups of some related spaces. Amer. J. Math., 1933, vol. 55, pp. 261–267.
- Gyuntsl K. Novoe myshlenie v preodolenii proshlogo i sozdaniya budushchego [New thinking in passage of the past and creation of the future]. Moscow, Respublika Publ., 1993, 236 p.
- Gnedenko B.V., Belyaev Yu.K., Solovyev A.D. Matematicheskie metody v teorii nadezhnosti. Osnovnye kharakteristiki nadezhnosti i ikh statisticheskiy analiz [Mathe-matical methods in the reliability theory. Main characteristics of reliability and their statistical analysis]. Moscow, Nauka Publ., 1965, 524 p.