By automating several formerly labor-intensive processes, like setting up a company's communications network, cloud computing technology (CCT) offers significant benefits to organizations and individuals. CCT is a game-changer for every sector since it enables businesses of all stripes to forego asset ownership in favor of paying variable subscription fees. The assessment of the CCT provider selection (PS) issue necessitates the identification of a set of appropriate selection requirements and their sub-criteria. Another goal is to utilize this suggested method in a real-world case study after presenting a robust integrated system for assessing and choosing the best CCT supplier. There are a variety of qualitative and quantitative characteristics that might be at odds with one another or even unclear in CCT PS, making it a challenging multi-criteria selection issue. The single valued neutrosophic set is used to overcome the vague data. The neutrosophic TOPSIS method is used to give weights of criteria and rank the alternatives. The application is introduced by the results of the neutrosophic TOPSIS method.