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Uncertain linear regression analysis model. (English) Zbl 1341.62249

Summary: The emphasis in this paper is mainly on uncertain linear regression model based on uncertainty theory. Firstly, expert’s experimental data and Delphi method for estimating empirical uncertainty distributions are introduced. Secondly, by collecting and interpreting expert’s experimental data, we establish an uncertain linear regression model and get the optimal solution of the model parameter estimation. Finally, two examples show that the uncertain linear regression model is better than the simple linear regression model.

MSC:

62J86 Fuzziness, and linear inference and regression
62J05 Linear regression; mixed models
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