Here is a possible definition:
The process of “money” is “knowing you’ve been paid”. A process has greater “decentralization” as it “occurs more locally”. Thus “decentralized money” is the local cost of knowing you’ve been paid: the cost of running a full node.
What's yours?
"Decentralized money" means that no central bank,like the Federal reserve system, has control over the
money supply.So no central bank can increase or decrease the money supply to cause inflation or deflation.
This is just my explanation...