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Published in: Soft Computing 15/2019

01-11-2018 | Foundations

On the generalized k-order additivity for absolutely monotone set functions

Authors: Biljana Mihailović, Martin Kalina, Mirjana Štrboja

Published in: Soft Computing | Issue 15/2019

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Abstract

The concepts of the generalized Möbius transform and the generalized k-additivity for absolutely monotone and sign stable set functions are introduced and investigated. The evaluation formula for the discrete general Choquet-like integrals with respect to generalized k-order additive set functions is obtained.

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Metadata
Title
On the generalized k-order additivity for absolutely monotone set functions
Authors
Biljana Mihailović
Martin Kalina
Mirjana Štrboja
Publication date
01-11-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 15/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3605-z

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