Fuzzy multiple linear least squares regression analysis

In this paper, we construct a fuzzy multiple linear least squares regression model based on two distance measures between LR-type fuzzy numbers. The computational formulas for calculating regression parameters are presented. To evaluate the effectiveness of the proposed model, we define a similarity measure between LR-type fuzzy numbers and introduce two criteria called the error index and the similarity index, which respectively utilize distance measures and similarity measures between LR-type fuzzy numbers as measurements. In addition, we present two numerical examples with normal fuzzy numbers and triangular fuzzy numbers to demonstrate the performances of the proposed model.