  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.
