Affiliations: [a] Center of Basic Science Teaching for Engineering, Faculty of Engineering Sciences, University Austral of Chile, Valdivia, Los Ríos, Chile
| [b] Department of Applied Mathematics, University of Campinas, Campinas, São Paulo, Brazil
| [c] Department of Economics and International Relations, Federal University of Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brazil
| [d] Department of Mathematics, Federal University of Mato Grosso, Cuiabá, Mato Grosso, Brazil
Correspondence:
[*]
Corresponding author. Daniel Eduardo Sánchez. E-mail: [email protected].
Abstract: In this manuscript, we present numerical solutions of a p-fuzzy system that models the Goodwin economic cycle. This model describes the dynamic interaction between labour share and the employment rate in an economy. One can use p-fuzzy systems to obtain solutions for differential equations whose the vector field are uncertain and partially known. The proposed p-fuzzy system is based on a fuzzy rule-based systems whose fuzzy rules represent economic premises described in the Goodwin model. We use two approaches to adjust the fuzzy terms of the corresponding fuzzy rule base from the economical data of a given country. The first approach is based on statical measures and the second one uses fuzzy c-means clustering method. Finally, we test our proposal to estimate the growth cycles of the labour share and the employment rate of Germany and we compare the obtained results with the historical data.
