Possibility Linear Regression Analysis with Trapezoidal Fuzzy Data
چکیده
In general fuzzy linear regression, the coefficients of the fuzzy regression model are symmetric triangular fuzzy numbers, while we try to replace them by more general ones, which are asymmetric trapezoidal fuzzy numbers. Possibility of equality between two asymmetric trapezoidal fuzzy numbers is explained by possibility distribution. Two different models are presented in this paper. Furthermore, the existence of outliers in a set of experimental data can cause incorrect interpretation of the regression results. This paper is to introduce some limitation on constraints of fuzzy regression determining fuzzy parameters with outliers by trapezoidal fuzzy data.