Abstract: In order to efficiently deal with the complexity and uncertainty of big data, this paper integrates “uncertainty problem + intuitionistic fuzzy set theory + quantum computing”, to build a quantum fuzzy information management mathematical model based on intuitionistic fuzzy set theory. To verify the feasibility, rationality and validity of this model, a simulation experiment of quantum fuzzy neural network based on parameterized quantum circuit is designed under uncertainty environment. The experimental results show that the quantum fuzzy neural network based on this model can more objectively, accurately and comprehensively reflect the knowledge information contained in each object in the uncertainty problem, and improve the accuracy of the algorithm processing big data.