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Additive functions and their application to uncertain information

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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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Authors and Affiliations

  1. Forschungsinstitut für anwendungsorientierte Wissensverarbeitung (FAW), University of Ulm, D-7900, Ulm, Germany

    Thomas Kämpke

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  1. Thomas Kämpke
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Kämpke, T. Additive functions and their application to uncertain information. Ann Oper Res 32, 51–66 (1991). https://doi.org/10.1007/BF02204828

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  • DOI: https://doi.org/10.1007/BF02204828

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