This study's subject represents the processes of functioning of information flows in a network information system through the use of fuzzy sets. It considers the possibilities of fuzzy sets in the information flows distribution problems of the Network Information System by the development of mathematical tools. In the theoretical part of the study, the main issue was the description of the fuzzy approach. In the empirical part of the study, the main concern was finding out the reasons for the fuzzy approach's advantages. The main results of the study: proof of the identity between the functioning of the analytical data; held the solution of the optimization problem based on the formulated analytical models; comparison of the usage of fuzzy ...