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.

中文翻译：

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基于不同损失函数的模糊回归模型的通用方法

当响应变量和模型参数为模糊数时，本文提出了一种新的通用方法来拟合模糊回归模型。在这种方法中，为了估计模糊回归模型的参数，基于不同的损失函数并在误差的\（\ alpha \）差之间的平均值之下，引入了目标函数的新定义。在存在不同类型的异常值的情况下，使用模拟数据集和一些实际数据集来研究所提出方法的应用。