Abstract

In this paper, the fuzzy system modeling method and the probability representation of fuzzy system method are used to establish model based on economic data. Compared their sum of residual squares with that of classical linear regression analysis model, which indicates that the results represent by the fuzzy system model method and the probability representation of fuzzy system model method are better than the linear regression analysis model method. Analogy to the linear regression analysis theory, the deterministic coefficient is introduced for the fuzzy system model and the probability representation of fuzzy system model, and given a new index \(\tilde{R}^{2}\) to measure the effect of fit, then we use this index to compare the degree of fit of each models. The results show that the linear regression analysis model is the best fit, but the probability representation of fuzzy system model fitting the worst. The research of this paper has theoretical significance value to the fuzzy system theory in the analysis of economic data.

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