Let's say I have set containing pairs of (person, IQ question), indicating the fact that a particular person can answer a particular IQ question. There is similar set indicating that a particular person cannot answer a particular IQ question. Now, I'd like to predict if a given person (p1) can answer an particular IQ question (q1) or not.
Obviously, (p1, q1) is not in either of the sets. However, it is possible to predict from the fact that, if a person p2 similar to p1 can answer q1, then p1 is likely to be able to answer it. Likewise, if a question q2 is similar to q1 and p1 is known to be able to answer q2, then it is likely to be able to answer it.
Is there a mathematics model to predict the likelihood?