Reference : Discrete integrals based on comonotonic modularity
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/9475
Discrete integrals based on comonotonic modularity
English
Couceiro, Miguel mailto [University Paris-Dauphine, Paris, France > Lamsade]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
23-Jul-2013
Axioms
MDPI
2
3
Axiomatic Approach to Monotone Measures and Integrals
390-403
Yes (verified by ORBilu)
International
2075-1680
[en] aggregation function ; discrete Choquet integral ; discrete Sugeno integral ; functional equation ; comonotonic additivity ; comonotonic modularity ; axiomatization
[en] It is known that several discrete integrals, including the Choquet and Sugeno integrals as well as some of their generalizations, are comonotonically modular functions. Based on a recent description of the class of comonotonically modular functions, we axiomatically identify more general families of discrete integrals that are comonotonically modular, including signed Choquet integrals and symmetric signed Choquet integrals as well as natural extensions of Sugeno integrals.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/9475
10.3390/axioms2030390
http://www.mdpi.com/2075-1680/2/3/390
http://arxiv.org/abs/1304.3042

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
DiscreteIntegralBasedCoModularity.pdfAuthor postprint124.68 kBView/Open
Open access
PV-DiscreteIntegralBasedCoModularity.pdfPublisher postprint240.73 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.