Additive functions and their application to uncertain information

Additive functions and their application to uncertain information

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Article ID: iaor1992353
Country: Switzerland
Volume: 32
Start Page Number: 51
End Page Number: 66
Publication Date: Aug 1991
Journal: Annals of Operations Research
Authors:
Keywords: probability
Abstract:

For additive functions over ordered sets, a minimum representation is given in case the ordered set has a particular deviation property. Additive functions are known to be special supermodular functions on power sets and in probability calculus, they are related to, for example, capacities and distribution functions of random sets. Their capability to encode vague information is stressed.

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