Two-Parameters Fuzzy Ridge Regression with Crisp Input and Fuzzy Output
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Abstract: (4949 Views) |
In this paper a new weighted fuzzy ridge regression method for a given set of crisp input and triangular fuzzy output values is proposed. In this regard, ridge estimator of fuzzy parameters is obtained for regression model and its prediction error is calculated by using the weighted fuzzy norm of crisp ridge coefficients. . To evaluate the proposed regression model, we introduce the fuzzy coefficient of determination (FCD). Fuzzy regression is compared with its ridge version by using mean predict error and FCD, numerically. It is evident from comparison results the proposed fuzzy ridge regression is superior to the non-ridge counterpar |
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Keywords: Triangular fuzzy numbers, fuzzy regression, ridge estimator, weighted fuzzy ridge regression, coefficient of determination. |
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Full-Text [PDF 449 kb]
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Type of Study: Research |
Subject:
Special Received: 2016/08/12 | Accepted: 2017/07/2 | Published: 2017/07/2
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