Yes, they can be very useful mathematical sets.
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No, because the intersection of two equivalent sets will have a union the same size as its intersection.
if we have set A and B consider A={1,2,3,4}and B={3,4,5,6} the union of these sets is A and B={1,2,3,4,5,6}and the intersection is{3,4} the union and the intersection are same only if A=B
Given two or more sets there is a set which is their union and a set which is there intersection. But, there is no such thing as a "union intersection set", as required for the answer to the question.
Union, Intersection and Complement.
union of sets,intersection of sets,difference of sets,ordered pair,ordered n-touples,cartician product of setThe basic operations are union and intersection. The complement of the set is also a basic operation.