Fuzzy data analysis by possibilistic linear models
Fuzzy Sets and Systems - Fuzzy Numbers
Information Sciences: an International Journal
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
Multiobjective fuzzy linear regression analysis for fuzzy input-output data
Fuzzy Sets and Systems
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Fuzzy Sets and Systems
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Fuzzy Sets and Systems
Information Sciences: an International Journal
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Fuzzy Sets and Systems
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Fuzzy nonparametric regression based on local linear smoothing technique
Information Sciences: an International Journal
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Information Sciences: an International Journal
Information Sciences: an International Journal
Fuzzy approach to semi-parametric of a sample selection model
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Fuzzy semi-parametric sample selection model case study for participation of married women
WSEAS Transactions on Mathematics
An enhanced fuzzy linear regression model with more flexible spreads
Fuzzy Sets and Systems
Fuzzy Rank Linear Regression Model
AI '09 Proceedings of the 22nd Australasian Joint Conference on Advances in Artificial Intelligence
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ICONIP '09 Proceedings of the 16th International Conference on Neural Information Processing: Part II
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General fuzzy regression using least squares method
International Journal of Systems Science
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Information Sciences: an International Journal
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Previous studies on fuzzy linear regression analysis have a common characteristic of increasing spreads for the estimated fuzzy responses as the independent variable increases its magnitude, which is not suitable for general cases. This paper proposes a two-stage approach to construct the fuzzy linear regression model. In the first stage, the fuzzy observations are defuzzified so that the traditional least-squares method can be applied to find a crisp regression line showing the general trend of the data. In the second stage, the error term of the fuzzy regression model, which represents the fuzziness of the data in a general sense, is determined to give the regression model the best explanatory power for the data. The results from two examples, one with crisp data and the other with fuzzy data for the independent variable, indicate that the two-stage method proposed in this paper has better performance than the previous studies.