31 citations · 317 across the 62 of their papers we have counts for
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Discrete integrals based on comonotonic modularity
Miguel Couceiro, Jean-Luc Marichal
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…
Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions
Miguel Couceiro, Jean-Luc Marichal
We introduce the concept of quasi-Lovász extension as being a mapping defined on a nonempty real interval containing the origin and which can be factorized a…
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…
Quasi-polynomial functions over bounded distributive lattices
Miguel Couceiro, Jean-Luc Marichal
In [arXiv 0811.3913] the authors introduced the notion of quasi-polynomial function as being a mapping f: X^n -> X defined and valued on a bounded chain X and which can be factoriz…
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…