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- Institut national de recherche en sciences et technologies du numériqueFR4 papers
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4 papers · 1 filter
Axiomatizations of Lovász extensions of pseudo-Boolean functions
Miguel Couceiro, Jean-Luc Marichal
Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by cer…
Axiomatizations of signed discrete Choquet integrals
Marta Cardin, Miguel Couceiro, Silvio Giove +1
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 va…
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art
Jean-Luc Marichal, Radko Mesiar
We present an overview of the meaningful aggregation functions mapping ordinal scales into an ordinal scale. Three main classes are discussed, namely order invariant functions, com…
Axiomatizations of quasi-polynomial functions on bounded chains
Miguel Couceiro, Jean-Luc Marichal
Two emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defi…