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How To Take Into Account Dependence Between the Inputs: From Interval Computations to Constraint-Related Set Computations, with Potential Applications to Nuclear Safety

By Martine Ceberio, Scott Ferson, Vladik Kreinovich, Sanjeev Chopra, Gang Xiang, Adrian Murguia and Jorge Santillan


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 ×... × 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)

Topics: constraints, interval computations, dependence between the inputs
Year: 2013
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
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