The existing functional dependencies between the measured values of quality indicators and their evaluation on a dimensionless scale, which were used to evaluate qualimetry objects of different nature, are analyzed. It is shown that for an objective assessment of qualimetry objects, as a rule, it is necessary to apply nonlinear dependencies. The main task of the researcher is to choose the type of nonlinear dependence, it requires additional scientific research. A tool for choosing a particular nonlinear dependence is to understand the physical essence of the qualimetry object, that is, to understand the laws of the relationship between the measured value of qualimetry indicators and their evaluation. It is determined that when assessing the quality of qualimetry objects, it is necessary to have estimates of multidimensional quality indicators in dimensionless terms. To obtain dimensionless estimates, it is necessary to know the type of dependence between the actual quality indicators and their estimates. The search for such dependence is not a simple scientific task and requires a number of studies. To obtain estimates of different quality indicators in a dimensionless scale, it is proposed to apply such a mathematical dependence that would take into account the shortcomings of the existing ones and would be methodologically and practically provided. After all, any scientific problem must be brought to practical application. As a mathematical dependence, it is proposed to apply the error function, which is non-elementary and is used in mathematical statistics and mathematical physics to solve some practical problems. The use of the error function became possible due to the development of computer technology, because its application requires a number of mathematical transformations. The error function is standardized in applications, so there are great opportunities for its practical application. It is proposed to use the error function for quantitative assessment of the quality of objects of different nature. Its capability and efficiency are checked. The proposed function can be universal. It is checked that it can be used to assess the quality of qualimetry objects of different nature.

The subject matter of the article is the method of determining comprehensive indicator of labor safety. The goal of the work is to develop a methodology for obtaining a comprehensive assessment of labor safety, taking into account the characteristics of harmful and dangerous production factors. The article solves the following task: to investigate the possibility of applying the method of numerical integration to obtain a comprehensive indicator of occupational safety, that is, to apply the principle of determining the area and volume under curved surfaces both on the plane and in space, which are created by combining estimates of unit indicators of harmful factors on a dimensionless scale. Methods are used: qualimetry and mathematical statistics. The following results were obtained: a number of modern scientific works were considered, substantiating the need to assess occupational safety at the workplace. A number of modern scientific works related to the quantitative assessment of the quality of qualimetric objects of different nature, which have different quality indicators and different measurement scales, have been analyzed. As a result of the analysis, the relevance of the topic has been proven and the need to develop a methodology for obtaining a comprehensive assessment of labor safety, which will be suitable for assessing working conditions at any production, has been determined. In order to obtain a comprehensive index of labor safety, it is proposed to determine an estimate for each harmful production factor, and then to determine a single estimate, taking into account all characteristics. To determine the complex indicator of a harmful production factor, it is proposed to apply the integration method, that is, to find the area under the broken surface, which resulted from the connection of points on the plane of the XOY coordinate system. For this, quadrature formulas using the method of average rectangles are used. A step-by-step algorithm for determining the comprehensive indicator of labor safety, using integration by the method of average rectangles, is proposed. The method of determining the comprehensive indicator of labor safety in production was tested. Harmful factors in production were determined, valid indicators were obtained and their estimates on a dimensionless scale were determined. A time series of changes in indicators of harmful factors over time is graphically constructed. A comprehensive indicator of occupational safety in production was determined as a basis for making decisions regarding further actions to improve working conditions. Conclusions: It is suggested to use qualitative methods for comprehensive assessment of labor safety in production. Namely, to determine an assessment for each harmful and dangerous production factor and, then, to determine a single comprehensive assessment of working conditions. The method of determining the complex indicator of labor safety, using numerical integration by the method of average rectangles, is proposed. The proposed method can be considered universal, as it can be used for any premises and enterprises.

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The subject matter of the article is the method of multi-criteria assessment of the indicator of labor safety in production. The goal of the work is to develop a methodology for applying functional dependence for multi-criteria assessment of labor safety in production, taking into account the characteristics of the system of harmful and dangerous production factors. The following task is solved in the article: to explore the possibility of using a functional dependence to obtain estimates of different-dimensional labor safety indicators on a dimensionless scale, while taking into account its unevenness and coordinating it with the characteristics of hazardous factors in production. Methods are used: qualimetry and mathematical statistics; expert. The following results were obtained: the existing functional dependencies between the measured values of quality indicators and their assessment on a dimensionless scale, which were used to evaluate qualimetry objects of various natures, were analyzed. It is shown that for an objective assessment of qualimetry objects, as a rule, nonlinear dependencies should be used. The main task of the researcher is to choose the type of nonlinear dependence; this requires additional scientific research. The tool for choosing one or another non-linear relationship is the understanding of the physical essence of the qualimetry object, that is, the understanding of the patterns of the relationship between the measured value of the qualimetry indicators and their assessment. For this, it is important to use the methods of expert assessments, because usually such patterns are unknown. The functional dependence used to obtain estimates of labor safety indicators in production is stepwise and includes a form parameter. By changing the shape parameter, the curvature of the dependence changes, thereby changing the estimate on the dimensionless scale. This feature of the applied dependence allows us to develop a universal methodology, that is, by changing the shape parameter, this dependence can be applied to various indicators of labor safety in any production. As an example, the article considers metallurgical production, while assessing the most dangerous factors. A step-by-step methodology for determining a generalized indicator of labor safety in production and an example of measured numerical values of hazardous factors has been developed, its effectiveness and versatility have been shown. Conclusions: to determine the generalized indicator of occupational safety at work, it is proposed to use the functional relationship between individual indicators of harmful production factors and their values on a dimensionless scale, which gives a quantitative assessment of occupational safety at work. With the help of the proposed method, you can make management decisions, which minimizes the deviation of the actual values of harmful factors from the optimal ones.

Methods for sterilizing textile materials in a pandemic (COVID-19) and the disadvantages of these methods are presented. A number of modern scientific works related to the sterilization of textile materials in a pandemic are considered, aimed at developing a technology for sterilizing protective medical masks and medical suits by radiation methods using gamma radiation. As a result of the analysis, it was found that the use of gamma radiation is a very dangerous technological process since natural sources are used - gamma rays, radiation technologies with gamma radiation are difficult when disposing of spent energy sources and are not easy to maintain. For sterilization of textile materials, the method of ionizing radiation is proposed. The essence of the method is that the textile material is sterilized by accelerated electrons. The expediency of carrying out theoretical and experimental research has been determined. It was found that the main criterion for sterilization of textile materials is the absorbed dose. The absorbed dose is determined experimentally, but such a procedure is time-consuming and resource-intensive, and it is not always possible to carry it out. Therefore, to calculate the absorbed dose, it is proposed to apply the mathematical formula of the absorbed dose of medical textile materials, depending on the frequency of passage of pulses of the accelerated electron beam, conveyor speed and geometric parameters of textile materials, the mathematical formula will allow finding the optimal technological modes of the sterilization process. Using the mathematical model of the absorbed dose of radiation by the material with the proposed technology, taking into account the properties of materials, it is possible to calculate the modes of irradiation of various textile materials that differ in size, shape, and physical properties, which will make it possible to develop a system of normative modes for the technology of radiation-physical sterilization and to ensure the legislative and regulatory requirements of hygiene in conditions of a pandemic.