Blockchain is a decentralized, unchangeable ledger that makes it easier to track assets and record transactions in a corporate network. Blockchain is the best technology for delivering the information because it offers real-time, shareable, and entirely transparent data that is kept on an immutable ledger and accessible exclusively to the members of a permissioned network. Blockchain-based cross-border payments have a number of benefits over conventional payment methods, including quicker settlement times, access to more markets, reduced prices, enhanced security, and greater transparency. The procedure is simplified by the use of blockchain in cross-border payments. Therefore, major banks and financial organizations may use this technology to establish confidence in international payments. The selection of the best blockchain provider for cross-border remittance work for major banks can be considered an important multi-criteria group decision-making problem. The purpose of this paper is to establish a multi-criteria group decision-making method namely, elimination and choice translating reality (ELECTRE) II approach, under the restrictions of a modern, well-structured, and highly flexible model of 2-tuple linguistic q-rung picture fuzzy sets (2TLq-RPFSs). With the help of the fundamental ideas of concordance, indifference, and discordance sets, the proposed method operates by taking into account the dominance and subordination of alternatives. In this article, we successfully establish the ELECTRE II approach with 2TLq-RPF information. We use the entropy measure method to determine the weights for the criteria. Further, we employ the 2TLq-RPF-ELECTRE II methodology to select the best blockchain provider for cross-border remittance work for a major bank and compare the effectiveness and viability of our presented approach to existing techniques.