How to Take into Account Dependence Between the Inputs: From Interval Computations to Constraint-Related Set Computations, with Potential Applications to Nuclear Safety, Bio- and Geosciences

Authors

Martine Ceberio, The University of Texas at El PasoFollow
Scott Ferson
Vladik Kreinovich, The University of Texas at El PasoFollow
Sanjeev Chopra
Gang Xiang
Adrian Murguia
Jorge Santillan

Publication Date

11-2006

Comments

Technical Report: UTEP-CS-06-06a

The first version published in Proceedings of the Second International Workshop on Reliable Engineering Computing, Savannah, Georgia, February 22-24, 2006, pp. 127-154; a revised version published in Journal of Uncertain Systems, 2007, Vol. 1, No. 1, pp. 11-34.

Abstract

In many real-life situations, in addition to knowing the intervals Xi of possible values of each variable xi, we also know additional restrictions on the possible combinations of xi; in this case, the set X of possible values of x=(x1,..,xn) is a proper subset of the original box X1 x ... x Xn. In this paper, we show how to take into account this dependence between the inputs when computing the range of a function f(x1,...,xn).