Application of the integration method for assessing the quality of qualimetry objects

Abstract

The analysis of existing scientific approaches to the quantitative assessment of the quality of qualimetry objects of different nature, which have different quality indicators with different measurement scales, is carried out. A number of modern scientific works related to the assessment of the quality of products, processes and services are considered, their shortcomings and possible boundaries of application are identified. As a result of the analysis, it was revealed that there are a number of unsolved problems in qualimetry, the solution of which could make it possible to develop new practical methods that would be quite universal and could be effectively used in assessing the quality of objects of various kinds. As a result of the analysis, the relevance of the topic was proved and the goals of the work were determined - to develop a methodology for obtaining a comprehensive assessment of the quality indicator, which will be suitable for assessing qualimetry objects of various kind. For a generalized assessment of the quality of qualimetry objects, it is proposed to determine an assessment for each of its characteristics or criteria, and then to determine a single assessment, taking into account all its characteristics. To determine the generalized quality indicator of one criterion, it is proposed to apply the integration method, that is, find the area under the broken surface, which emerged as a result of connecting points on the plane of the XOY coordinate system. For this, quadrature formulas are applied using the trapezoidal method. The trapezium method is an approximate integration method, useful in cases where it is not possible to find the original function and calculate the integral through it. A step-by-step algorithm for determining a generalized quality indicator of a qualimetry object of various natures is proposed, using the integration by the trapezium method. In this case, we get a multi-criteria assessment of the quality of the qualimetry object. For integration, you can apply other methods, which will determine the most effective one. The developed technique can be used for multi-criteria assessment of the quality of qualimetry objects if, instead of a time scale, a scale of single assessments of various criteria that characterizes the object is used.