Parameter Estimation Based Type-II Fuzzy Logic and Comparison with Robust Methods
Abstract
Parameter estimation is one of the important stages of regression analysis. In the regression analysis,
while parameter estimation by classical methods there are a number of assumptions need to be satisfied.
One of them is error are normally distributed. In the case that the data sets have outliers, providing of
this assumption becomes more difficult. When a data set has outliers, robust methods such as the M
method (Huber, Hampel, Andrews and Tukey) are used for estimating parameters. In this paper the
Adaptive Network Based Fuzzy Inference System (ANFIS) is used to parameter estimation which is the
neural network architecture based type-II fuzzy logic. The proposed method has the properties of a
robust method, because the process does not give permission to the intuitional and is not affected by the
outliers. Consequently, another aim of this study is, to compare the proposed method with the robust
methods that are mentioned above.
Keywords
Type-II fuzzy logic,outliers,robust regression,membership function
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