Final answer:
The approach that considers extinction as a change in mental representation when a conditioned stimulus no longer predicts an unconditioned stimulus is the cognitive approach.
Step-by-step explanation:
The perspective that views extinction as a change in a person's mental representation of the environment because the conditioned stimulus is no longer predictive of an unconditioned stimulus is aligned with the cognitive approach. This is because the cognitive approach in psychology is concerned with the relationship between thought and behavior. It integrates the importance of cognitive processes in understanding how learning and behavior change occurs when certain stimuli no longer provide expected outcomes. Meanwhile, the behavioral approach, which is also relevant here, tends to focus more on observable behaviors and the environmental stimuli that elicit them, without delving into mental processes as deeply.