关键词: 模糊传递闭包阵, 安全性, 解空间, 双重调节

Abstract: As one of the core elements of blockchain, the consensus mechanism is different in different fields. For public chain application scenarios, the widely used proof of work（PoW） consensus algorithm still has security and high computing power difficult to regulate. Therefore, the PoW algorithm is studied from the perspective of solution space and adjustment mechanism, and the fuzzy random proof of work（FRMH） consensus algorithm is innovatively proposed. Firstly, for security issues, the FRMH algorithm increases the solution space of the consensus algorithm by introducing technologies such as fuzzy transitive closure matrix in fuzzy mathematics, thereby improving the security of the blockchain consensus mechanism. Secondly, the FRMH algorithm uses a dual adjustment mechanism to deal with high computing power computers, thereby solving the problem of high computing power difficult to control on the blockchain. Finally, it is verified by mathematics that the FRMH algorithm has a significant improvement effect on the solution space and high computing power control.

Key words: fuzzy transitive closure matrix, security, solution space, dual regulation