Similarities and distances in fuzzy regression modeling
We study the set of the solutions of a fuzzy regression model as a metric space. For each metric, we define a similarity ratio in order to compare the spaces of solutions of a fuzzy regression model. We prove that the similarity ratios, that can be extracted from these different metrics, are all the same as in [4]. As an application, we use the similarity ratio to produce fuzzy classification of models. A numerical example, involving economic data, is given.
similarities metric spaces fuzzy classification fuzzy regression analysis