Fuzzy Linear Regression Using Distribution Free Method

Title & Authors
Fuzzy Linear Regression Using Distribution Free Method
Yoon, Jin-Hee; Choi, Seung-Hoe;

Abstract
This paper deals with a rank transformation method and a Theil's method based on an $\small{{\alpha}}$-level set of a fuzzy number to construct a fuzzy linear regression model. The rank transformation method is a simple procedure where the data are merely replaced with their corresponding ranks, and the Theil's method uses the median of all estimates of the parameter calculated from selected pairs of observations. We also consider two numerical examples to evaluate effectiveness of the fuzzy regression model using the proposed method and of another fuzzy regression model using the least square method.
Keywords
Fuzzy regression model$\small{{\alpha}}$-level set;rank transformation method;Theil's method;
Language
Korean
Cited by
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