Regression Parameters Estimation of Random-Fuzzy Linear Regression Model and its Application

The regression parameters estimation exprssions of a random-fuzzy linear regression model are deduced. It is proved that they are an unbiased estimator. The formulae for calculating the numerical characteristics of regression parameters estimation and the correlation coefficients of the regression equation are derived. Based on the experimental data of triaxial compression tests, the calculated results are more realistic and reasonable compared with the linear regression method.