Suppose that I possess a binary classification model, where the positive class is certain, and I am confident that the positive samples belong to that class, while the negative class is uncertain, as I do not have any prior knowledge of whether these samples belong to the positive class or not. Is there a specific term used to refer to such a classification model?
Example: We have a group of individuals who are gamers. Some of my clients are gamers with certainty, as I can see their transactions and purchases on Steam, Nintendo, or Microsoft Games. For the rest of my population, I am unsure whether they are gamers or not, as it is possible that they are gamers but are not visible in my transactional data.
The objective of the model is to calculate the probability of a person being a gamer for those clients for whom we do not have certainty.
Does this kind of model in which there is certainty for a group and uncertainty for the other group have a special name or is it just plain binary classification?