Similarities in fuzzy regression models and application on transportation

In earlier papers we have studied the set of the solutions of a fuzzy regression model that comes from a set of data, as a metric space with appropriate metrics on it. Using the similarity ratio which has been found in those papers we compare models that come from different set of data. We observe that the relation between models which can be extracted by the similarity ratio is a fuzzy compatibility relation. Application of the method in the case of the Airport of Rhodes (the most important touristic airport in Greece) is done. Based on the historical data of demand, several combinations of data are tested with fuzzy regression analysis. Similarities ratios are calculated and the more appropriate set of data is concluded.