55 citations · 565 across the 70 of their papers we have counts for
5 papers · 1 filter
A classification of bisymmetric polynomial functions over integral domains of characteristic zero
Jean-Luc Marichal, Pierre Mathonet
We describe the class of n-variable polynomial functions that satisfy Aczél's bisymmetry property over an arbitrary integral domain of characteristic zero with identity.
On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes
Jean-Luc Marichal, Pierre Mathonet
For a coherent system the Barlow-Proschan importance index, defined when the component lifetimes are independent, measures the probability that the failure of a given component cau…
Aczélian n-ary semigroups
Miguel Couceiro, Jean-Luc Marichal
We show that the real continuous, symmetric, and cancellative n-ary semigroups are topologically order-isomorphic to additive real n-ary semigroups. The binary case (n=2) was origi…
Locally monotone Boolean and pseudo-Boolean functions
Miguel Couceiro, Jean-Luc Marichal, Tamás Waldhauser
We propose local versions of monotonicity for Boolean and pseudo-Boolean functions: say that a pseudo-Boolean (Boolean) function is p-locally monotone if none of its partial deriva…
Reliability of systems with dependent components based on lattice polynomial description
Alexander Dukhovny, Jean-Luc Marichal
Reliability of a system is considered where the components' random lifetimes may be dependent. The structure of the system is described by an associated "lattice polynomial" functi…