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Introduction: Probability and Belief Functions

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Measuring Uncertainty within the Theory of Evidence

Part of the book series: Springer Series in Measurement Science and Technology ((SSMST))

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Abstract

The mathematical Theory of Evidence has been introduced by Shafer in the 1970s as a reinterpretation of Dempster’s statistical inference. Shafer’s Theory of Evidence begins with the familiar idea of using a number between 0 and 1 to indicate the degree of belief for a proposition on the basis of the available evidence.

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Notes

  1. 1.

    This relationship is the generalization of (3.8), which is valid for disjoint sets.

  2. 2.

    This relationship is the generalization of (3.26), which is valid for disjoint sets.

References

  1. G. Shafer, A Mathematical Theory of Evidence (Princeton University Press, Princeton, 1976)

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Salicone, S., Prioli, M. (2018). Introduction: Probability and Belief Functions. In: Measuring Uncertainty within the Theory of Evidence. Springer Series in Measurement Science and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-74139-0_5

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