Regression analysis is significant to the dependence between dependent variables and one or more variables in engineering. This paper presents a fuzzy regression analysis method based on trapezoidal fuzzy numbers regarding data outlier detection. The Euclidean distance for the trapezoidal fuzzy numbers is provided. In the sense of Euclidean distance, some parameter estimation laws of the trapezoidal fuzzy linear regression model are designed. Then, the data outlier detection-oriented parameter estimation method is proposed using the trapezoidal fuzzy regression model. Moreover, by using the root mean squared error method, the impact evaluation rule is designed based on the considered fuzzy regression model. Finally, the effectiveness of the trapezoidal fuzzy regression method to the data outlier detection is validated via a case study.
Volume 11 | 08-Special Issue
Pages: 345-356