Union of All Intersecting Sets

Question

Given a list of objects with multiple attributes I need to find the list of sets created by a union of all intersecting subsets.

Specifically these are Person object

Answer 1

while (!people.isEmpty()) {
    Person first = people.get(0);
    people.remove(first);
    Set set = makeSet(first);
    for (Person person : people) {
        for (Person other : set) {
            if (person.isRelatedTo(other)) {
                set.add(person);
                people.remove(person);
            }
        }
    }
    sets.add(set);
}
for (Set a : sets) {
    for (Set b : sets.except(a)) {
        for (Person person : a)
            for (Person other : b) {
                if (person.isRelatedTo(other)) {
                    a.addAll(b);
                    b.clear();
                    sets.remove(b);
                    break;
                }
            }
    }
}