The bases that do not dissociate completely into their ions when dissolved in an aqueous solution are called weak bases.
When weak bases are dissolved in a solution, a part of them dissociates into hydroxide ions and some parts remain undissociated in the solution.
Part 2: Example of Weak Base:
Ammonia is a weak base as it does not dissociate completely in water. When dissolved in water, it will form an Ammonium cation and the hydroxide anion .
Aluminum hydroxide is weak as it does not dissociate completely in water. When dissolved in water, it will form Aluminium ions and hydroxide ions which are in equilibrium with aluminum hydroxide.