55 citations · 565 across the 70 of their papers we have counts for
9 papers · 1 filter
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…
A description of n-ary semigroups polynomial-derived from integral domains
Jean-Luc Marichal, Pierre Mathonet
We provide a complete classification of the n-ary semigroup structures defined by polynomial functions over infinite commutative integral domains with identity, thus generalizing G…
On signature-based expressions of system reliability
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors o…
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…
Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations
Jean-Luc Marichal, Pierre Mathonet
The concept of system signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. We consider its extension to the continuous dependent case and give…