In marketing, "exclusive" can refer to products that are only available from select distributors or retailers, and have never been released before, or only at a particular event.
In the description of a mathematical set, the term exclusive denotes that the endpoints of a range are not included within the set. For example, "the integers -2 to 2 exclusive" refers to the set {-1,0,1}; the endpoints, -2 and 2, are excluded. The term is generally applied to discrete elements.