Probabilistic metric space

Probabilistic metric space is a way of talking about numbers or things that can have different values. It's kind of like a map — it helps describe how far away two things (or numbers) are from each other. We do this by looking at the probability that two things will be the same (or close to each other). This tells us how far away they are. For example, if two numbers have a high probability of being the same, then they are close to each other. If two numbers have a low probability of being the same, then they are far away from each other.