It is very important to visualize the initial data in a decision-making system with human participation in a proper way. Decision-making complexity, the correctness of the decisions made often depend on it. Nowadays there are many different data visualizations today such as graphs, bar charts, pie and histograms, etc. However, the situation becomes more difficult, if it comes to visualizing the dynamics of changes of structured data. Structured data is understood in this paper as data in which the observed value has an internal structure and consists of a large number of components (characteristics). This paper provides a formal description of structured data and proposes an approach to displaying the graph of their change, by which one can judge not only the general process of the observed value, but also the change in the internal structure (components included in it and their influence on human decision-making). The area of potential application of this approach, as well as its structure features and capabilities are demonstrated in the work. The description of the developed software is given for modeling the situation with the spread of COVID-19 in Bryansk region where the proposed version of visualization is used. Examples of specific situations are considered in which this approach turned out to be useful and helpful. The possibility to use the proposed method in other applied areas is described at the end of the work. © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).