Least squares estimation of a linear regression model with LR fuzzy response
@article{Coppi2006LeastSE, title={Least squares estimation of a linear regression model with LR fuzzy response}, author={R. Coppi and P. D'Urso and P. Giordani and Adriana Santoro}, journal={Comput. Stat. Data Anal.}, year={2006}, volume={51}, pages={267-286} }
The problem of regression analysis in a fuzzy setting is discussed. A general linear regression model for studying the dependence of a LR fuzzy response variable on a set of crisp explanatory variables, along with a suitable iterative least squares estimation procedure, is introduced. This model is then framed within a wider strategy of analysis, capable to manage various types of uncertainty. These include the imprecision of the regression coefficients and the choice of a specific parametric… Expand
131 Citations
A linear regression model for imprecise response
- Computer Science, Mathematics
- Int. J. Approx. Reason.
- 2010
- 75
- PDF
Weighted Least Squares and Least Median Squares estimation for the fuzzy linear regression analysis
- Mathematics
- 2013
- 20
Goodness of fit and variable selection in the fuzzy multiple linear regression
- Computer Science, Mathematics
- Fuzzy Sets Syst.
- 2006
- 39
- PDF
Estimation of a Fuzzy Regression Model Using Fuzzy Distances
- Mathematics, Computer Science
- IEEE Transactions on Fuzzy Systems
- 2016
- 28
A variable spread fuzzy linear regression model with higher explanatory power and forecasting accuracy
- Computer Science, Mathematics
- Inf. Sci.
- 2008
- 50
- PDF
References
SHOWING 1-10 OF 46 REFERENCES
Least-squares estimation in linear regression models with vague concepts
- Mathematics, Computer Science
- Fuzzy Sets Syst.
- 2006
- 26
- PDF
Fuzzy regression methods - a comparative assessment
- Mathematics, Computer Science
- Fuzzy Sets Syst.
- 2001
- 244
Fuzzy estimates of regression parameters in linear regression models for imprecise input and output data
- Mathematics, Computer Science
- Comput. Stat. Data Anal.
- 2003
- 48
- PDF
A generalized fuzzy weighted least-squares regression
- Mathematics, Computer Science
- Fuzzy Sets Syst.
- 1996
- 100
Linear Regression with Random Fuzzy Variables: Extended Classical Estimates, Best Linear Estimates, Least Squares Estimates
- Mathematics, Computer Science
- Inf. Sci.
- 1998
- 94