System Approach in Mathematical Support of Modeling Methods in Quality Management Problems of Complex Systems and Processes
Andery A. Titov, Anatoly A. Rogov · 2020
The article raises the problem of the formation of a common base of mathematical modelling of the tasks of quality management systems and processes of a complex nature. Analysis of the problems that arise in the mathematical modeling of control problems of objects of great complexity shows the systematization of modeling methods is possible through the use of the concept of synthetic qualimetry. The significance of the proposed approach is determined by the fact that synthetic qualimetry is based on the synthesis of existing measurement theories. This makes it possible to carry out a systematic analysis of modeling methods and the choice of mathematical structures for objects of different nature within the framework of special qualimetry. This determines the novelty of the proposed approach. Identifies ways to build a common base of the formal description of the process of control of complex objects and processes.