A Full Function-Based Calculus of Directed and Undirected Intervals: Markov's Interval Arithmetic Revisited

Authors

Juergen Wolff von Gudenberg
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

9-2003

Comments

Technical Report: UTEP-CS-03-01a

Published in Numerical Algorithms, 2004, Vol. 37, pp. 417-428.

Abstract

This paper proposes a new interpretation of intervals as classes of functions having the same domain. Interval operations are seen as operations on these classes. This approach allows to recover Markov's directed interval arithmetic by taking into account the monotonicity of the functions.