Another name for unfairness in judgement, prejudice and partially is ...

Another name could be Discrimination. This is because discrimination refers to the different treatment given to another person for reasons of his ethnicithy, origin, nationality, beliefs or any other stereotype, which might end up in inequality while a person is judged, or separated in some way from the rest of the individuals without a reason other than a personal characteristic.

Finally, discrimination also refers to favoring others over a person's right, being this similar to partiality.