An Interval Linear Tolerance Problem

This paper is concerned with a tolerance problem for an interval linear system A x = b requiring inner estimation of the admissible solution set {x ⁿ | (A A)(Ax b)} formed by vectors x for which the product Ax remains within b for any possible A A. Methods for verifying the emptiness and nonemptiness of admissible solution sets are developed. Formulas for the dimensions of the interval solution of a tolerance problem with known center are derived.