Decentralized Attribute-Based sEcret writing (ABE) could be a variant of a multi-authority ABE theme wherever every authority will issue secret keys to the user severally with none cooperation and a central authority. This can be in distinction to the previous constructions, where multiple authorities should be on-line and setup the system interactively, that is impractical. Hence, it's clear that a decentralized ABE theme eliminates the serious communication price and also the want for cooperative computation within the setup stage. Moreover, every authority will be part of or leave the system freely while not the requirement of re-initializing the system. In modern multi-authority ABE schemes, a user's secret keys from completely different authorities should be tied to his world symbol (GID) to resist the collusion attack.