Additive functions and their application to uncertain information
type: Item
instance of: scholarly article
title: Additive functions and their application to uncertain information
zbMATH Open document ID: 0729.06002
DOI: 10.1007/BF02204828
author: Thomas Kämpke
published in: Annals of Operations Research
publication date: 1991-01-01T00:00:00Z
review text: Evaluating additive functions over ordered sets in general is a difficult problem. For ordered sets satisfying some deviation property, the author shows how to express the values of the additive function as the minimum value of several functions that are relatively easy to compute. Furthermore the relation between supermodularity and concavity and this kind of representation are discussed. Also the use of additive functions in encoding vague information by interpreting them as evidence or belief functions is stressed.
Mathematics Subject Classification ID: 06A99
Mathematics Subject Classification ID: 68T30
zbMATH DE Number: 4204400
zbMATH Keywords: additive functions over ordered sets
zbMATH Keywords: encoding vague information
zbMATH Keywords: evidence functions
zbMATH Keywords: belief functions
zbMATH Keywords: supermodular functions
zbMATH Keywords: probability distributions
zbMATH Keywords: concavity
reviewed by: Herman J. Tiersma
MaRDI profile type: Publication
cites work: Q3759971
cites work: Minimax tests and the Neyman-Pearson lemma for capacities
cites work: Q3048571
cites work: On random sets and belief functions
cites work: On the foundations of combinatorial theory I. Theory of M�bius Functions
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description: scientific article; zbMATH DE number 4204400