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They may be under Special treatment at anytime, because of the financial crisis. In order to be advance to prevent the occurrence of the risks, it is necessary to predict the financial risk, timely understanding of the financial situation of the enterprise, and avoid the potential cause financial risk factors of enterprise. It is very important for the long-term and stable development of enterprises. In this paper, we introduce some operations on the intuitionistic fuzzy sets, and further develop the intuitionistic fuzzy Hamacher power weighted geometric (IFHPWG) operator. Then, we investigate several desirable properties of IFHPWG operator, e.g. idempotency, boundedness and monotonicity. Then, we apply the intuitionistic fuzzy Hamacher power weighted geometric (IFHPWG) to solve the multiple attribute decision making with intuitionistic fuzzy information. 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