Aimed at the decision-making problem of the application of cloud computing, a new cost and TOE (Technology, Organization and Environment) based approach is proposed. First, this paper argues that cost, as well as TOE factors (Technology, Organization and Environment) should be considered for the use of cloud computing decisions; Second, the method of standard and mean deviation is applied to determine the unknown attribute weights; Finally, based on the LWAA (linguistic weighted arithmetic averaging) operator, calculate the comprehensive evaluation value for the alternative cloud computing providers. Through compared with the calculated values to identify whether the company is suitable for the use of cloud computing. A numerical example is given to illustrate the usefulness of the proposed approach.