Evaluation of the Mini-Models Robustness to Data Uncertainty with the Application of the Information-Gap Theory

The paper describes a new method based on the information-gap theory which enables an evaluation of the mini-models robustness to a specified kind of uncertainty in the data. There are presented concepts of a robustness and an opportunity of mini-models and calculations of these concepts were performed for a simple 1-D data set and next, for a more complicated 6-D data set. In both cases the method worked correctly and enabled evaluation of the robustness and the opportunity for a given lowest acceptable quality r(c) or a windfall quality r(w). Additionally the method enabled choosing of the most robust model for a given level of an uncertainty.