People who have the ability to perceive and understand the emotions of others are said to have what

Cognitive empathy

Explanation:

Cognitive empathy: In psychology, the term cognitive empathy is defined as the phenomenon which is based on an individual's drive related to consciousness that precisely recognizes and understands the other person's emotional state. Cognitive empathy is also referred to as perspective-taking.

In other words, it is defined as an individual's capabilities to know or understand the way another person thinks or feels.

In the question above, the given statement signifies the cognitive empathy.