1. Assign, allocate, allot mean to apportion or measure out. To assign is to distribute available things, designating them to be given to or reserved for specific persons or purposes: to assign duties. To allocate is to earmark or set aside parts of things available or expected in the future, each for a specific purpose: to allocate income to various types of expenses. To allot implies making restrictions as to amount, size, purpose, etc., and then apportioning or assigning: to allot spaces for parking. 4. fix, determine. 5. adduce, allege, advance, show, offer.