Boyko O. Interval modeling of complex systems

The object of research is a process of modelling of complex systems with interval input and output data. The aim of research is increasing of effectiveness of modelling of complex systemsin case of uncertainty on the base of interval analisys. For the solution of these problems methods of interval analisys, numerical methods and methods of simulation modelling were used. As a result of this dissertation method of modeling of complex systems with uncertainties was developed. New approach, in which mathematical model of complex system is described as a chain of one-dimensional conversions and adding operations of interval values which described parameters of system, was suggested. This gives an opportunity to get data about process of functioning of complex system with less amount of computation in comparing with traditional probabilistic modeling and to avoid subjectivism in fuzzy analysis. In the context of this approach the mathematical interval models of converters, which used interval presentationof input and output data, were developed. The interval nonlinear operators are developed, which gives an opportunity to simplify methods of aggregation of converters of complex systems. Methodic of interval modeling of complex systems with uncertainties was offered. Computer system of interval modeling of complex systems is developed. Implementation degree - within the limits of the brunch; Sphere of application - complex information-measurement systems.