In a real multi-attribute decision making problem, the decision maker can strategically set the attribute weights to obtain the desired alternative ranking, which is the manipulation problem of strategic weight. The dishonesty of decision-makers is ubiquitous in reality, and the research on this problem has practical value. At present, the research on this problem mainly focuses on the crisp number. In view of this, the paper extends the research on strategy weight manipulation to fuzzy multi-attribute decision making. Firstly, the concept of strategy weight control and rank range for fuzzy multi-attribute decision making are defined. Then, a hybrid linear programming model based on the possibility and proximity formula is proposed to obtain the ranking range, and the optimal model of decision-maker's policy weight vector is established. Finally, the multi-attribute decision making problems with decision evaluation information as interval number and triangular fuzzy number are taken as examples to verify the feasibility and practicability of the proposed model. The results show that the(ordered weighted averaging,OWA) operator has stronger resistance to the manipulation of strategic weight, and the expanded model maintains the superiority and accuracy of the alternative ranking model under the evaluation information of original crisp number.