Quantile Fuzzy Varying Coefficient Regression based on kernel function

Authorsمحسن عارفی,امیرحمزه خمر,محمد قاسم اکبری
JournalApplied Soft Computing
Page number۱-۱۲
Serial number۱۰۷
Volume number۱
Paper TypeFull Paper
Published At۲۰۲۱
Journal GradeISI
Journal TypeElectronic
Journal CountryNetherlands
Journal IndexJCR،Scopus

Abstract

The fuzzy varying coefficient regression model is a generalized version of fuzzy linear regression model. This kind of model is flexible and adaptable than fuzzy linear regression model. In this paper, we introduce a fuzzy varying coefficient regression model based on the quantile loss function and under the kernel function. Based on the presented goodness of fit indices, we show that the proposed approach is robust under the outlier data. Some applications of this approach are studied on some data sets and a simulated data set

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tags: Fuzzy data, Fuzzy varying coefficient regression, Goodness of fit, Kernel function, Robust regression, Quantile loss function