Multiple hybrid regression for fuzzy observed data

A method for hybrid regression is developed in this paper. The method uses the new definition of weighted intervals. The proposed method extends group of initial data membership functions as it can be applied to (L-R) fuzzy numbers. For reliability evaluation of hybrid regression models the standard deviation, a hybrid correlation coefficient, a hybrid standard error of estimate are defined. The numerical example has demonstrated that the developed hybrid regression model can be used for analysis of relations among linguistic variables with success.