We all know precision and recall. What if two algorithms have the same precision and recall but one algorithm makes more predictions with the data available.
Example: "I love samsung. Apple is terrible."
Algorithm 1: "I love samsung. Apple is terrible." Makes prediction Neutral.
Algorithm 2: "I love samsung. Apple is terrible." Makes prediction Positive for Samsung and Negative for Apple. Two predictions.
So far both have 100% Precision and 100% Recall. However, one is clearly making more predictions, segmenting more, and giving more information than another.