Efficiency of the mixture model components using fuzzy integrals

In this paper -we describe the fuzzy integral used not only as a fusion operator, but also as a selection/removal/add operator. This operator is able to tell us about the importance of the sources that we merge. In the system modeling context, we have applied this technique to mixture models, where the number of component densities of the mixture model is not known a priori. Given a mixture model, we use the fuzzy integral like selection/removal/add operator of the component densities of this model. Hence, we will ascertain the number of components necessary with a controlled error. In order to obtain these, results, we propose a decision process based on coefficients provided by the fuzzy integral. We have used several data sets to evaluate the accuracy of the method. We show an illustrative example