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SOCO
2008
Springer

Fuzzy linear regression model based on fuzzy scalar product

8 years 10 months ago
Fuzzy linear regression model based on fuzzy scalar product
The new concept and method of imposing imprecise (fuzzy) input and output data upon the conventional linear regression model is proposed in this paper. We introduce the fuzzy scalar (inner) product to formulate the fuzzy linear regression model. In order to invoke the conventional approach of linear regression analysis for real-valued data, we transact the -level linear regression models of the fuzzy linear regression model. We construct the membership functions of fuzzy least squares estimators via the form of "Resolution Identity" which is a well-known formula in fuzzy sets theory. In order to obtain the membership value of any given least squares estimate taken from the fuzzy least squares estimator, we transform the original problem into the optimization problems. We also provide two computational procedures to solve the optimization problems. Keywords Fuzzy number
Hsien-Chung Wu
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2008
Where SOCO
Authors Hsien-Chung Wu
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