This article considers the problem of formalization of elements and binary connections of multifunctional data, which are components of cyber-physical systems. The concept of a free and active element of a complex system and its classes relatively interact with environment resources and consumer information messages. Six attributes of binary relationship elements such as information, material, energy, optics, management, and general have been classified. The table shows four classes of active interaction between elements of complex systems of signs. The concept of an element of a complex system has been defined. The basics of the theory of solving the task of structuring multifunctional data have been outlined, which made it possible to improve the system characteristics of the components of cyberphysical systems due to the reduction of structural, hardware, and time complexity.
- Nykolaichuk Ya.M, Pitukh I.R., Vozna N.Ya. (2008) The- ory models of motion data distributed computer systems: Monograph. Ternopil: Terno-graph, 216 p.
- Nykolaichuk Ya.M., Vozna N.Ya, Pitukh I.R. (2013) Struc- turing the movement of data in computer systems. Ternopil: Terno-graf, 284 p.
- Palani, S. (2022). Multi-rate Digital signal processing. Prin- ciples of Digital Signal Processing: 2nd Edition (pp. 623- 674). Cham: Springer International Publishing. DOI:10.1007/978-3-030-96322-4_6
- Hu, Z., Tereykovskiy, I. A., Tereykovska, L. O., & Pogore- lov, V. V. (2017). Determination of structural parameters of multilayer perceptron designed to estimate parameters of technical systems. International Journal of Intelligent Sys- tems and Applications, 9(10), 57. DOI: 10.5815/ijisa.2017.10.07
- Dean, W. (2019). Computational complexity theory and the philosophy of mathematics. Philosophia mathe- matica, 27(3), 381-439. DOI: 10.1093/philmat/nkz021
- Suomela J. Structural information and communication complexity. 23rd International Colloquium, SIROCCO 2016, Helsinki, Finland, July 19-21, 2016, Revised Selected Papers, Springer, Cham. 408 p. DOI:10.1007/978-3-319- 48314-6
- Kari, J., Manea, F., & Petre, I. (2017). Computable trans- formations of structures Unveiling Dynamics and Complex- ity. Springer International Publishing AG. Lecture Notes in Computer Science, vol 10307. Springer, Cham.DOI:10.1007/978-3-319-58741-7_9
- Jun, S., & Kochan, O. (2015). Common mode noise rejec- tion in measuring channels. Instruments and Experimental Techniques, 58, 86-89. DOI:10.1134/S0020441215010091
- Nykolaichuk Ya. Specialized Computer Systems Design / Tutorial / Ya Nykolaichuk., N. Vozna, I. Pitukh, - Ternopil: Terno-graph, 2010. – 392 p.
- Kučera, E., Haffner, O., Drahoš, P., Cigánek, J., Štefanovič, J., & Kozák, Š. (2020). New software tool for modelling and control of discrete-event and hybrid systems using Petri nets. Computing and Informatics, 39(3), 568-586.DOI: 10.31577/cai_2020_3_568
- Nykolaichuk Ya.M. (2008). Theory of information sources.Ternopol: TNEU, 536 p.
- Vozna N.Ya. (2018) Structuring of multifunctional data: theory, methods and tools: Monograph. Ternopil: TNEU, 378 p.
- Hlukhov, V., & Hlukhova, A. (2013, September). Galois field elements multipliers structural complexity evaluation. In Proceedings of the 6-th International Conference ACSN- 2013. September , 16-18.
- Zheng, Z. (2022). Modern Cryptography Volume 1: A Clas- sical Introduction to Informational and Mathematical Prin- ciple (p. 359). Springer Nature. DOI:10.1007/978-981-19- 0920-7_3.
- Jones, K. (2010). The regularized fast Hartley transform.Netherlands: Springer. DOI:10.1007/978-3-030-68245-3_3.
- Voronych, A., Nykolaychuk, L., Grynchyshyn, T., Hryha, V., Melnychuk, S., & Nykolaychuk, Y. (2020, September).Development of theory, scope and tools for entropy signals and data processing. 2020 10th International Conference on Advanced Computer Information Technologies (ACIT) (pp. 260-264). IEEE. DOI: 10.1109/ACIT49673.2020.9208912