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2006

University of Texas at El Paso

Departmental Technical Reports (CS)

Constraints

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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, Bio- And Geosciences, Martine Ceberio, Scott Ferson, Vladik Kreinovich, Sanjeev Chopra, Gang Xiang, Adrian Murguia, Jorge Santillan Nov 2006

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

Departmental Technical Reports (CS)

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).