The Blockchain is a distributed ledger with flourishing blocks that are secured and linked with cryptographic hashes. The Blockchain is a type of distributed database that is used in many vital business transactions of replication, sharing, tracking, and synchronization of data among various sites. Recently, the global technological and industrial revolution is accelerating; bitcoin extends the industrial revolution to become a lot of interest from both the business world and academic circles. This paper aims to take advantage of Blockchain concepts to be applied in Enterprise Banking Systems (EBS). The EBS depends on smart contracts and Blockchain technologies for trust only the installation of a Blockchain platform with a solid design and a proven user base. Unfortunately, only a few Blockchain platforms (BP) have achieved stable design and confident implementation. The selection of appropriate BP is the leading step for decision makers that pretended to be a real challenge. Therefore, any digital transformation project that makes use of Blockchain must contend with the difficulty of selecting a BP that is suited to the requirements of EBS. In this study, a hybrid approach of a Neutrosophic theory for uncertainty conditions in a multi-criteria decision-making problem with the use of wise weight assessment ratio analysis (SWARA) and Weighted Sum Method (WSM) is proposed in order to select the appropriate and efficient BP. A case study within 10 alternatives evaluated using 6 criteria is applied to EBS, as an uncertain environment, to show the efficiency of the proposed model in aiding decision makers to achieve ideal BP according to challenges to achieve sustainability. We made the Sensitivity Analysis to show the change in the rank of alternatives when changing the weights of criteria, and then we found that there are four cases that are similar to the original rank of alternatives and there are two cases that are different from the original rank of alternatives. We compared the proposed methodology with the previous studies to show the robustness of this model. The proposed methodology is compared with the single-valued Neutrosophic sets TOPSIS and VIKOR methods. It is reached that all three methods are similar in the ranking of the best alternative. The proposed model is the best tool for the decision makers to help them in the selection best platform in any enterprise.