The article you linked has at least 3 different kinds of socialism that satisfy "democratic" socialism:

Democratic socialists have promoted various different models of socialism and economics, ranging from market socialism, where socially owned enterprises operate in competitive markets and are self-managed by their workforce, to non-market participatory socialism based on decentralised economic planning.[127] Democratic socialism can also be committed to a decentralised form of economic planning where productive units are integrated into a single organisation and organised based on self-management.[22]

What definition do you mean by it?