Fuzzy regression analysis based on M-estimates

2021 ◽  
pp. 115891
Author(s):  
Jalal Chachi ◽  
S. Mahmoud Taheri ◽  
Pierpaolo D’Urso
2011 ◽  
Vol 181 (19) ◽  
pp. 4154-4174 ◽  
Author(s):  
Pierpaolo D’Urso ◽  
Riccardo Massari ◽  
Adriana Santoro

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Pingping Gao ◽  
Yabin Gao

This paper presents a fuzzy regression analysis method based on a general quadrilateral interval type-2 fuzzy numbers, regarding the data outlier detection. The Euclidean distance for the general quadrilateral interval type-2 fuzzy numbers is provided. In the sense of Euclidean distance, some parameter estimation laws of the type-2 fuzzy linear regression model are designed. Then, the data outlier detection-oriented parameter estimation method is proposed using the data deletion-based type-2 fuzzy regression model. Moreover, based on the fuzzy regression model, by using the root mean squared error method, an impact evaluation rule is designed for detecting data outlier. An example is finally provided to validate the presented methods.


1995 ◽  
Vol 3 (01) ◽  
pp. 44-52 ◽  
Author(s):  
H.C. Chen ◽  
J.H. Fang ◽  
M.E. Kortright ◽  
D.S. Chen

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