The Fuzzy Linear Regression

Abstract

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. This paper aimed to study fuzzy regression models including Tanaka model, Tanaka modified model and other models, and build a fuzzy regression model using fuzzy and nonfuzzy data. In this paper, a prediction model was constructed based on the application of the Sanli and Apaydin idea which adopted the Shapiro proposal based on the square distances provided by Diamond. It compared fuzzy regression model and regression model by using normal least square model. The research found that the fuzzy regression is clearer and easier to calculate, and does not differ much from the classical regression, which supports the idea of fuzzy regression prediction, especially with regard to fuzzy data.