Yu.V. Doronina1, A.V. Skatkov2
1Sevastopol State University, RF, Sevastopol, Universitetskaya St., 33
2Institute of Natural and Technical Systems, RF, Sevastopol, Lenin St., 28
DOI: 10.33075/2220-5861-2026-1-129-138
UDC 519.8
EDN: https://elibrary.ru/lcjbap
Abstract:
The article presents a comprehensive study of methods for analyzing graphical profiles of monitoring objects in environmental control systems, taking into account the peculiarities of human perception based on polymetric space. The use of polymetric spaces makes it possible to integrate heterogeneous metrics into a single evaluation system, increasing the flexibility and completeness of the analysis. Statistical, frequency, and time approaches are considered, including classical and hybrid metrics such as Kolmogorov-Smirnov, Kulback-Leibler, and dynamic time alignment. A mathematical optimization model is proposed to approximate numerical estimates to subjective expert data. It is shown that using a hybrid metric with linear and nonlinear components can significantly improve the accuracy and interpretability of the results, especially in conditions of variability and noise of the data. The results are confirmed by visualization and quantification of correlations with human perception, which ensures objective verification of the proposed methods. The study demonstrates the prospects for practical application of the proposed approach in environmental control systems, biomedical analysis, computer vision and other areas where it is important to adapt automatic assessments to subjective criteria and take into account the human factor in the decision-making process in conditions of uncertainty of assessments.
Keywords: graphical profile, curve comparison metrics, human perception, hybrid metric, polymetric space
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