On the suitability of fuzzy models: an evaluation through fuzzy integrals

The paper deals with a problem of evaluating the properties of a system on the basis of the corresponding fuzzy model, its properties, and its quality measured by a performance index. It is shown that a grade of satisfaction for a property of the system may be calculated by means of a fuzzy integral with respect to a fuzzy measure, where the latter corresponds to a quantitative representation of the quality of the model constructed. Two properties of wide significance in system analysis, controllability and predictability are studied in detail.