SYNTHESIS OF PSEUDO-DYNAMIC FUNCTIONS PD-sbox-ARX-32

С. В. Поликарпов, В.А. Прудников, Konstantin E. Rumyantsev · Известия Южного федерального университета. Технические науки · 2024

The article proposes an approach to modeling social interactions in organizational systems, whichconsists of several stages: obtaining data about system users, for example, using network parsing; forminga GH-model of the system based on fuzzy graphs with different types of vertices and multiple differenttypes of edges; calculating graph characteristics taking into account a certain type of edges; using valuesof graph characteristics to analyze the system taking into account the inherent semantic load. The expediencyof using the GH graph for the study of social relations in organizational systems is substantiated,since it has a number of advantages. The GH-graph allows you to set all the necessary multi-type relationshipsand at the same time reduce the time of system analysis by 1.9 times by using multiple edges in theform of a vector, allowing you to combine several different types of edges. Modification of the model consistsin using different types of vertices. The type of vertices in the graph is determined by calculating theircharacteristics. The paper shows the process of forming a graph model of a subsystem and calculating itscharacteristics. The results of calculating the degrees of vertices and their centrality by degrees areshown. To calculate the metric characteristics of the graph model, a modified algorithm for finding shortestpaths in the GH-graph was used, which was previously developed. A special feature of this algorithmis the ability to use filters based on the type of vertices and edges. Numerical indices of the radius anddiameter of the graph are obtained, groups of central and peripheral vertices are determined, the centralityof vertices in proximity is calculated, taking into account the selected types of edges for the study ofdifferent types of relations in the system. The analysis of the subsystem is carried out using the example ofsolving two practical problems. Groups of employees of the enterprise were identified among the networkusers, their possible statuses and communicative activities were determined. The user status refers to belongingto groups of managers of different levels, a group of ordinary employees of the enterprise. A solutionto the problem of identifying users (groups of users) most suitable for the dissemination (or, conversely,non-proliferation) of information on the network is proposed

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