Blockchain technology has become a trusted method for establishing secure and transparent transactions through a distributed, encrypted network. The operation of blockchain is governed by consensus algorithms, among which Proof of Stake (PoS) is popular yet has its drawbacks, notably the potential for centralising power in nodes with larger stakes or higher rewards. Fuzzychain, our proposed solution, introduces the use of fuzzy sets to define stake semantics, promoting decentralised and distributed processing control. This system selects validators based on their degree of membership to the stake fuzzy sets rather than just the size of their stakes. As a pioneer proposal in applying fuzzy sets to blockchain, Fuzzychain aims to rectify PoS's limitations. Our results indicate that Fuzzychain not only matches PoS in functionality but also ensures a fairer distribution of stakes among validators, leading to more inclusive validator selection and a better-distributed network.

翻译：区块链技术已成为通过分布式加密网络建立安全透明交易的可信方法。区块链的运作由共识算法所支配，其中权益证明（PoS）虽广受欢迎，但仍存在缺陷，尤其是可能导致权益较大或奖励较高的节点权力集中。我们提出的解决方案Fuzzychain引入了模糊集来定义权益语义，以促进去中心化和分布式的处理控制。该系统根据验证者对权益模糊集的隶属度而非仅凭其权益大小来选择验证者。作为将模糊集应用于区块链的首创性提案，Fuzzychain旨在修正PoS的局限性。我们的结果表明，Fuzzychain不仅在功能上与PoS相当，还能确保验证者之间更公平的权益分配，从而实现更具包容性的验证者选择和更均匀分布的网络。