In the context of COVID‐19, in order to control the spread of the epidemic and promote global economic recovery, countries have implemented differentiated controls on people entering and leaving the country. This paper uses a practical scenario to study the influence of countries in the fuzzy cooperative cross‐border personnel flow credit system. First, the type of vaccine approved by the alliance is determined according to the type of vaccine approved by each country. Second, add the fuzzy parameter of how much countries trust each other. Then, a correlation coefficient between the number of commonly recognized vaccine types and the degree of country participation in the alliance is introduced to the degree of impact on global economic recovery; finally, the solution of the fuzzy alliance is obtained by using the priority objective programming model.