Trade relations between commerce powers nowadays are crucial in the international economic scene. This has been observed since the entry of China into the World Trade Organization (WTO) in 2001, along with the political changes that have arisen in the United States (USA) during the last decade. The objective of this work is to propose a deterministic model about trade relations between two economic powers with the use of fuzzy logic. This model is also applied to the commerce relation between China with USA and Brazil. The main results show that the model described correctly the exports of these nations and the qualitative methods employed here are adequate to pursue this kind of analyses. Finally, this analysis contributes to the field of international trade by providing a method that combines a qualitative tool and a deterministic model, to study the trade relationship between the USA and Brazil with China.
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