APPLICATION OF THE ERROR FUNCTION FOR ASSESSING THE QUALITY OF QUALIMETRY OBJECTS

Abstract

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.