In social networks, a vast amount of social data is primarily stored on centralized cloud servers. However, concerns arise due to dishonest and curious of these servers. Traditional searchable encryption methods can only perform single keyword search, resulting in computationally intensive tasks and redundant search results in computing devices. To address this issue, we propose a privacy-preserving scheme for Friend Discovery (FD) based on edge computing mode. This scheme consists of a weight matrix, CP-ABE technology, cipher text for performing multi-keyword searchable symmetric encryption and so on. This approach allows you to quickly troubleshoot a mismatched user. Security analysis and simulation results demonstrate that the proposed scheme can achieve secure and efficient dating for users in mobile social networks.