A.D. Gavrilov1, V.V. Sukhov2, A.M. Rakhmatulin3, A.N. Smirnov4, E.G. Berger5, V.V. Khanychev6

1,2 JSC Concern Morinsis-Agat (Moscow, Russia)
3,4 A.F. Mozhaisky Military Space Academy (St. Petersburg, Russia)
5,6 MIREA – Russian Technological University (Moscow, Russia)
4 Smirnovant84@mail.ru

The article presents a methodology for presenting initial data using descriptive matrices characterizing the object of observation in order to algorithmize procedures for processing the results of measured indicators and making decisions based on them about the state of the object or system. The construction of descriptive matrices is based on graph theory, which is used to synthesize a descriptive-time model.

Two types of models are used for a formalized description of the process under study: a discrete-time model and models based on the theory of random graphs.

The main stage in the development of a descriptive-temporal model of the process is the construction of a hierarchical tree, for which the apparatus of graph theory is used, which makes it possible to visually represent the interrelated elements of the system, taking into account their functional dependence and time indicators, as well as the distribution of elements by some classes. The final result of the performed representations is a reference matrix of states for each stage of the functioning of the process under study, which is a set of string vectors describing the states of the system taking into account binary values.

The approach used makes it possible to simplify the procedure for determining the state of a complex organizational and technical system and to present the essence of the phenomenon under study when considering technological processes or evaluating the state of operability of technical means.

The proposed method of presenting the initial data for constructing descriptive matrices in order to assess the state of an object (a complex organizational and technical system) can significantly reduce the time spent on processing the results characterizing the state of the process under study, increase the reliability and objectivity of the result of such an assessment, as well as create a database for predicting trends in the development of the process.

The application of the proposed approach is possible in decision support systems on the current state of a complex organizational and technical system and forecasting its development based on automated processing of measurement results.

Gavrilov A.D., Sukhov V.V., Rakhmatulin A.M., Smirnov A.N., Berger E.G., Khanychev V.V. A technique for presenting initial data for constructing descriptive matrices in order to assess the state of processes, phenomena, and objects. Science Intensive Technologies. 2024. V. 25. № 4. P. 5−11. DOI: https://doi.org/ 10.18127/j19998465-202404-01 (in Russian)

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