Computing uncertainty withuncertain numbers

Abstract

A computational method for processing measurement data is discussed that applies the law of propagation of uncertainty, which is described in the Guide to the Expression of Uncertainty in Measurement . The method introduces the notion of an 'uncertain number', which is an entity that encapsulates information about the value and uncertainty of a quantity. Basic mathematical operations can be defined for uncertain numbers so that relationships between quantities can be expressed in a familiar way. Uncertain number equations can be arbitrarily combined, or decomposed into expressions for intermediate results, providing flexibility and convenience for automatic data processing while rigorously supporting uncertainty propagation. A geometrical description of simple uncertain number operations is also given.

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