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A general approach to fuzzy regression models based on different loss functions

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Abstract

In this paper, a new general approach is presented to fit a fuzzy regression model when the response variable and the parameters of model are as fuzzy numbers. In this approach, for estimating the parameters of fuzzy regression model, a new definition of objective function is introduced based on the different loss functions and under the averages of differences between the \(\alpha \)-cuts of errors. The application of the proposed approach is studied using a simulated data set and some real data sets in the presence of different types of outliers.

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Correspondence to Mohsen Arefi.

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Khammar, A.H., Arefi, M. & Akbari, M.G. A general approach to fuzzy regression models based on different loss functions. Soft Comput 25, 835–849 (2021). https://doi.org/10.1007/s00500-020-05441-2

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