A Method of Studying the Completeness of Interval Discrete Models Built on the Basis of Intelligent Computing

Mathematical models of complex objects in the form of interval differential equations have become widely used for decision-making. Such equations are built on the basis of the obtained experimental interval data within the limits of the inductive approach. At the same time, there is always the probl...

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Bibliographic Details
Published in:	2023 13th International Conference on Advanced Computer Information Technologies (ACIT) pp. 1 - 4
Main Authors:	Dyvak, Mykola, Pasichnyk, Roman, Porplytsya, Natalia, Fronchko, Volodymyr, Yakoviv, Vasyl, Bandzuchova, Veronika
Format:	Conference Proceeding
Language:	English
Published:	IEEE 21-09-2023
Subjects:	Analytical models behavioral models of artificial bee colony Behavioral sciences Computational modeling Data models Difference equations Differential equations interval model Mathematical models structural identification
Online Access:	Get full text
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Summary:	Mathematical models of complex objects in the form of interval differential equations have become widely used for decision-making. Such equations are built on the basis of the obtained experimental interval data within the limits of the inductive approach. At the same time, there is always the problem of completeness of the model, which consists in the fact that the model must reflect all the properties of the object that are significant from the point of view of the purpose of modeling, since the difference equation does not sufficiently interpret the physical properties of the object. The method proposed in the article makes it possible to construct a differential equation on the basis of its analog interval difference equation. The developed approach creates opportunities for the identification of interval models of complex objects based on the analysis of interval data according to a single universal scheme of intelligent calculations based on the behavior of a swarm of honey bees, or any other method of solving an optimization problem. On the other hand, the method makes it possible to ensure the completeness of the built model and to interpret the physical properties of the modeled object according to the classical scheme.
ISSN:	2770-5226
DOI:	10.1109/ACIT58437.2023.10275724