A strong consistent least-squares estimator in a linear fuzzy regression model with fuzzy parameters and fuzzy dependent variables

In this paper a linear fuzzy regression model with fuzzy independent variables and fuzzy parameters is discussed. This is an extension of the ordinary linear regressions models by integrating physical and/or epistemical vaqueness to the dependent variables and as a consequence to the parameters. Within this paper the least-squares method is used to obtain an estimate for the fuzzy parameters in a statistical sense. Furthermore, we give a statistical justification of the proposed method by proving that the extended least-squares estimator is a strong consistent estimator.