@article{Levin_2019, title={MATHEMATICAL METHODS AND MODELS FOR STUDYING CORRUPTION IN ORGANIZATIONAL SYSTEMS}, url={http://ric.zntu.edu.ua/article/view/191991}, DOI={10.15588/1607-3274-2019-4-4}, abstractNote={Context. In the process of functioning of various organizational expert systems – economic, social, militarized – the task of detecting,<br />localizing and measuring the level of corruption in the system arises. These tasks are solved on the basis of various data obtained<br />during observations and experiments on the system. However, there is no single method for processing information to solve these problems.<br />This paper proposes such a technique, based on a comparison of assessments of the same indicators of evaluated objects, given<br />by various experts.<br />Objective. The purpose of the article is to develop a fully formalized method for detecting, localizing and measuring the level of<br />corruption in an organizational system consisting of experts, based on the assessments given to objects.<br />Method. The method proposed in the article consists in the presentation of an organizational system of m experts conducting an<br />examination of the object with n indicators by means of a (m× n) -matrix B = bij . Here bij – is the assessment given by the i -th<br />expert to the j-th indicator of the object. In this case a system with ideal (non-corrupted) experts corresponds to a matrix B with equal<br />elements in any column and, accordingly, with matching lines. In a system with non-ideal (corrupt) experts, the matrix B does not have<br />this property. This allows you to enter an indicator of the absolute level of corruption in the system as the sum of the distances between<br />the results of the examination of various experts.<br />Result. A general analytical expression is obtained for absolute level of corruption in systems with arbitrary B,m and n . The maximum<br />possible value of this indicator is found. An algorithm for detecting corruption in organizational systems is given, based on a<br />comparison of calculated absolute level of corruption and its maximum allowable level. The problem of detecting corruption in a complex<br />system, where objects with several indicators pass the examination, is also solved. Examples of detecting and measuring corruption<br />in real expert systems are given.<br />Conclusions. A new approach to mathematical modeling of corruption processes in organizational expert systems, based on the use<br />of a matrix of assessments of various indicators of evaluated objects by different experts of the system, is proposed. This approach, in<br />contrast to the established practice, allows us to find uniform solutions of various problems of studying corruption in systems of this<br />type. These are tasks of detecting, localizing and measuring corruption. The direction as a whole is proposed to be called corrumetry.}, number={4}, journal={Radio Electronics, Computer Science, Control}, author={Levin, V. I.}, year={2019}, month={Nov.}, pages={38–49} }