A new method for operations of interval numbers

The present interval arithmetic often results in unnecessary diameter expansions in interval operations. To solve this problem, this paper defines a new operation of intervals using their algebraic representations. On the basis of algebraic interval representations, the arithmetic operations are investigated and formulated. Then, the capability of the proposed operation methods in solving unnecessary diameter expansions is analyzed. An application of the proposed model to a typical game problem is provided in the end to demonstrate the feasibility of the proposed model.