Reference : Axiomatizations of signed discrete Choquet integrals
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/9471
Axiomatizations of signed discrete Choquet integrals
English
Cardin, Marta mailto [University Ca’ Foscari of Venice, Italy > Department of Applied Mathematics]
Couceiro, Miguel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Giove, Silvio mailto [University Ca’ Foscari of Venice, Italy > Department of Applied Mathematics]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Apr-2011
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
World Scientific Publishing Company
19
2
193-199
Yes (verified by ORBilu)
International
0218-4885
[en] signed discrete Choquet integral ; signed capacity ; Lovász extension ; functional equation ; comonotonic additivity ; homogeneity ; axiomatization
[en] We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lovász extension of a pseudo-Boolean function which vanishes at the origin. We present axiomatizations of this generalized Choquet integral, given in terms of certain functional equations, as well as by necessary and sufficient conditions which reveal desirable properties in aggregation theory.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/9471
10.1142/S0218488511006964
http://arxiv.org/abs/1007.0711

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