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Authors

Marcenyuk M. A.

Degree
Doctor of Mathematics, Professor, Head of the Chair of Computer Systems and Telecommunications, Perm State University
E-mail
mrcn@psu.ru
Location
Perm
Articles

Operator-logic schemes as a means for learning algorithms in mathematics and information science curriculum

Operator-Logical Diagrams (OLD) with step by step instructions are very useful and descriptive tool that facilitates new learning data perception. An analysis of algebraic structure of symmetry group based on its Cayly graph construction problem and implementation of automaton with memory were chosen to demonstrate the OLD approach advantages. OLD benefits regarding their application for the basic domain models study are discussed.

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Fuzzy inference alghoritm for multi-factor student assessment rating

Presently estimating students rating envolves a lot of different factors which have to be taken into account. The rating mark has to follow some regulating documents which enclose recommendations that are formulated as complex of inference rules that are formulated in wordy («linguistic») form like «if… then». It is evidently that in these conditions experts are needed for student estimation. As a result the mark is far from having a single meaning. To overcome this difficulty we propose to use the methods of fuzzy logic. It was found that for implementation of fuzzy inference algorithms the matrix representation of fuzzy variables [1] is most effective. In this representation the usage of logic rules like modus ponens is equivalent to solving of some system of linear equations with the usual existing conditions of their solution. The comparison of matrix and traditional approaches on different software and hardware platforms (including embedded and mobile systems) was also realized. Main advantages of matrix method for are low memory requirements, shorter and easier development. As a result the proposed algorithm enables automate the procedure of student rating estimation which sufficiently taking into account expert opinion. In other hand, it makes the student mark transparent in difficult cases.
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