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主导，其中权益证明（PoS）虽广为应用，但存在局限性，尤其可能导致权益或收益较高的节点集中化权力。我们提出的解决方案Fuzzychain引入模糊集定义权益语义，以促进去中心化与分布式处理控制。该系统根据验证者对权益模糊集的隶属度（而非仅凭权益规模）进行选择。作为将模糊集应用于区块链领域的先驱提案，Fuzzychain旨在修正PoS的缺陷。结果表明，Fuzzychain不仅实现与PoS相当的功能，更能确保验证者之间更公平的权益分配，从而提升验证者选择的包容性并优化网络分布特性。