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Fuzzy multiple linear least squares regression analysis
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DOI：10.1016/j.fss.2022.06.012.png)
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In this paper, we construct a fuzzy multiple linear least squares regression model based on two distance measures between LR-type fuzzy numbers. The computational formulas for calculating regression parameters are presented. To evaluate the effectiveness of the proposed model, we define a similarity measure between LR-type fuzzy numbers and introduce two criteria called the error index and the similarity index, which respectively utilize distance measures and similarity measures between LR-type fuzzy numbers as measurements. In addition, we present two numerical examples with normal fuzzy numbers and triangular fuzzy numbers to demonstrate the performances of the proposed model.(c) 2022 Elsevier B.V. All rights reserved.
Keyword:
Fuzzy multiple linear regression
LR-type fuzzy numbers
Least squares regression
Distance measures
Similarity measures
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