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Soft Computing

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12-01-2021 | Foundations

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

Authors: Amir Hamzeh Khammar, Mohsen Arefi, Mohammad Ghasem Akbari

Published in: Soft Computing | Issue 2/2021

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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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Title: A general approach to fuzzy regression models based on different loss functions
Authors: Amir Hamzeh Khammar
Mohsen Arefi
Mohammad Ghasem Akbari
Publication date: 12-01-2021
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 2/2021
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-020-05441-2

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