The study is devoted to the development of models, algorithms and software for computer training complexes (CTC) for training developers of automated information systems (AIS). The process of automated control of students' knowledge and skills using CTC in studying the mathematical support of AIS (using fuzzy modeling as an example) is formalized based on IDEF0 diagrams, and the process of assessing exercise performance as one of the control components. The advantage of CTC is that the teacher does not need to develop individual exercise options, since CTC configures the structure and complexity of the exercise and then automatically generates a unique version of the exercise for each student undergoing knowledge testing on the topic being studied. The student's performance is checked automatically by comparing the mathematical models of the student's solution to the task and the reference solution generated in CTC based on the problem statement. Algorithms for assessing task performance in fuzzy modeling exercises have been developed. A prototype of CTC has been created in the form of a web system with personal accounts for the teacher and the student. The developed concept and algorithms for monitoring knowledge and skills in fuzzy modeling using the CTC can be adapted for various disciplines in the field of mathematical, software, information and other types of support for AIS.
Keywords: automated information systems, mathematical support, fuzzy modeling, computer training complex, e-learning, distance learning