way 1

self.addNewField = self.addNewField.filter(function(element, index) {
return element['id'] != self.relateFromDialogData.id;
});

way2

var obj = {}
self.fieldList = self.fieldList.reduce(function (s, next) {
obj[next.id] ? '' : obj[next.id] = true && s.push(next); return s;
}, []);