Descriptive models of the determined systems

Abstract

Common mathematical models of complex systems are not flexible, their creation is very resource-demanding and they are hard to work with. The numerous problems can arise during the process of building a mathematical model for complex systems. An area of knowledge, facts, and information could be structured badly or not structured at all. Part of the data might be missing or vice versa – we might have too much data available, which makes it difficult to find the necessary information. Therefore building a formal mathematical model, studying its dynamic for the relevant area of knowledge becomes a very hard or even almost impossible task. And that is why the new methods for such task are in much demand, namely, the methods of building descriptive mathematical models. The descriptive mathematical model serves as not a strict and formal model but a qualitative one. Such a qualitative model gives us a possibility to describe the character of the system, behavior of its internal components, and approximate rules of its dynamics. The qualitative model gives us a chance to deny the propositions, which do not fit the model directly at the first stage.