Owen's linear production game makes a fixed assumption on the marginal contribution of production technology and resources. However, production technology and the marginal contribution of resources change with production all the time in fact. Based on this, in order to describe the production process with fuzziness and dynamics, this paper proposes a fuzzy DEA linear production game. Firstly, the complex production models composed of two cooperation scenarios (sharing technology and resources and sharing resources only), three resource types(the minimum resources, the optimum resources, the effective resources) and revenues from two perspectives(optimistic and pessimism) are established. This paper explains the mutual benefit of cooperative production, the change trend of “increase first and then smooth” in the revenue brought by resources, and the possible maximum revenue range by the above three factors. Secondly, α-core is used to solve this game, and it is found that the α-core allocation can be obtained without using duality theory in specific cases, which simplifies the calculation steps. Finally, the practical significance and theoretical value of this model and method are illustrated by solving the problems of modeling and revenue allocation in the process of cloud service virtual machine transformation.