Studies in Fuzziness and Soft Computing, vol.317, pp.3-18, 2014 (Scopus)
In this chapter it was justified mathematical model of construction of expert systems and methods of its application in educational process. It is given the mathematical formulation of a number of tasks of application of neural networks and hybrid expert systems in the subsystem of decision-making and evaluation of knowledge. By using of fuzzy logic an original method for controlling the student’s knowledge was developed which as maximal closely simulating the behavior of the teacher in the student survey, which combines the power and laconism that was not previously available for automated systems. The proposed method of mathematical processing and designing of educational materials on the basis of linguistic variables allows the designer to simulate any configuration of educational materials is an important step in achieving individual learning.