In this paper, we propose a fuzzy linear regression model with LR-type fuzzy input variables and fuzzy output variable, the fuzzy extent of which may be different. Then we give the iterative solution of the proposed m...In this paper, we propose a fuzzy linear regression model with LR-type fuzzy input variables and fuzzy output variable, the fuzzy extent of which may be different. Then we give the iterative solution of the proposed model based on the Weighted Least Squares estimation procedure. Some properties of the estimates are proved. We also define suitable goodness of fit index and its adjusted version useful to evaluate the performances of the proposed model. Based on the Least Median Squares-Weighted Least Squares (LMS-WLS) estimation procedure, we give robust estimation steps for the proposed model. Compared with the well-known fuzzy Least Squares method, the effectiveness of our model on reducing the outliers influence is shown by using two examples.展开更多
Forest development type(FDT) is an expectation pattern for forest management object. Based on investigation data and reference to other stands data in the similar environment,FDT of Pinus caribaea in Baisha County,Hai...Forest development type(FDT) is an expectation pattern for forest management object. Based on investigation data and reference to other stands data in the similar environment,FDT of Pinus caribaea in Baisha County,Hainan Province was designed. Accordidng to the condition of forest stand,it was the object to transform pure coniferous stand to close to nature stand with the structure of coniferous broadleafed mixed forest. On the other hand,visualization of FDT by LMS(landscape management system),was performed for management Pinus caribaea in future.展开更多
文摘In this paper, we propose a fuzzy linear regression model with LR-type fuzzy input variables and fuzzy output variable, the fuzzy extent of which may be different. Then we give the iterative solution of the proposed model based on the Weighted Least Squares estimation procedure. Some properties of the estimates are proved. We also define suitable goodness of fit index and its adjusted version useful to evaluate the performances of the proposed model. Based on the Least Median Squares-Weighted Least Squares (LMS-WLS) estimation procedure, we give robust estimation steps for the proposed model. Compared with the well-known fuzzy Least Squares method, the effectiveness of our model on reducing the outliers influence is shown by using two examples.
文摘Forest development type(FDT) is an expectation pattern for forest management object. Based on investigation data and reference to other stands data in the similar environment,FDT of Pinus caribaea in Baisha County,Hainan Province was designed. Accordidng to the condition of forest stand,it was the object to transform pure coniferous stand to close to nature stand with the structure of coniferous broadleafed mixed forest. On the other hand,visualization of FDT by LMS(landscape management system),was performed for management Pinus caribaea in future.