Popova, E. D.: Interval Operations Involving NaNs Reliable Computing, 2 (2), 1996, pp. 161-165.

This paper considers some aspects of the implementation of interval arithmetic built on IEEE floating-point systems. Interval operations and functions on arguments involving special elements, Not-a-Numbers (NaNs) and signed zero, supported by the IEEE floating-point formats are discussed. A simple model of interval exceptions and their handling in IEEE non-trapping mode is proposed and interval operations on arguments involving NaNs are defined. Based on the floating-point exceptions and their handling, the proposed model provide consistency between interval and IEEE arithmetics.