Publications (47)
Subsignatures of systems
Jean-Luc Marichal
Approximations of Lovasz extensions and their induced interaction index
Jean-Luc Marichal, Pierre Mathonet
Distribution functions of linear combinations of lattice polynomials from the uniform distribution
Jean-Luc Marichal, Ivan Kojadinovic
Counting non-isomorphic maximal independent sets of the n-cycle graph
Raymond Bisdorff, Jean-Luc Marichal
Weighted lattice polynomials
Jean-Luc Marichal
On modular decompositions of system signatures
Jean-Luc Marichal, Pierre Mathonet, Fabio Spizzichino
Weighted lattice polynomials of independent random variables
Jean-Luc Marichal
Associative string functions
Erkko Lehtonen, Jean-Luc Marichal, Bruno Teheux
Aczélian n-ary semigroups
Miguel Couceiro, Jean-Luc Marichal
Slices, slabs, and sections of the unit hypercube
Jean-Luc Marichal, Michael J. Mossinghoff
Measuring the interactions among variables of functions over the unit hypercube
Jean-Luc Marichal, Pierre Mathonet
On the moments and distribution of discrete Choquet integrals from continuous distributions
Ivan Kojadinovic, Jean-Luc Marichal
Pivotal decompositions of functions
Jean-Luc Marichal, Bruno Teheux
Solving Chisini's functional equation
Jean-Luc Marichal
A description of n-ary semigroups polynomial-derived from integral domains
Jean-Luc Marichal, Pierre Mathonet
Discrete integrals based on comonotonic modularity
Miguel Couceiro, Jean-Luc Marichal
A classification of bisymmetric polynomial functions over integral domains of characteristic zero
Jean-Luc Marichal, Pierre Mathonet
Barycentrically associative and preassociative functions
Jean-Luc Marichal, Bruno Teheux
Reliability of systems with dependent components based on lattice polynomial description
Alexander Dukhovny, Jean-Luc Marichal
On perfect, amicable, and sociable chains
Jean-Luc Marichal
Locally monotone Boolean and pseudo-Boolean functions
Miguel Couceiro, Jean-Luc Marichal, Tamás Waldhauser
Polynomial functions over bounded distributive lattices
Miguel Couceiro, Jean-Luc Marichal
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables
Jean-Luc Marichal
Preassociative aggregation functions
Jean-Luc Marichal, Bruno Teheux
Axiomatizations of quasi-polynomial functions on bounded chains
Miguel Couceiro, Jean-Luc Marichal
Influence and interaction indexes for pseudo-Boolean functions: a unified least squares approach
Jean-Luc Marichal, Pierre Mathonet
Weighted Banzhaf power and interaction indexes through weighted approximations of games
Jean-Luc Marichal, Pierre Mathonet
Associative polynomial functions over bounded distributive lattices
Miguel Couceiro, Jean-Luc Marichal
Reliability analysis of semicoherent systems through their lattice polynomial descriptions
Alexander Dukhovny, Jean-Luc Marichal
Computing system signatures through reliability functions
Jean-Luc Marichal, Pierre Mathonet
Axiomatizations of signed discrete Choquet integrals
Marta Cardin, Miguel Couceiro, Silvio Giove +1
Quasi-polynomial functions over bounded distributive lattices
Miguel Couceiro, Jean-Luc Marichal
Associative and preassociative functions
Jean-Luc Marichal, Bruno Teheux
Representations and characterizations of polynomial functions on chains
Miguel Couceiro, Jean-Luc Marichal
Aggregation functions for decision making
Jean-Luc Marichal
On signature-based expressions of system reliability
Jean-Luc Marichal, Pierre Mathonet, Tamás Waldhauser
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
Miguel Couceiro, Jean-Luc Marichal
Measuring the influence of the k-th largest variable on functions over the unit hypercube
Jean-Luc Marichal, Pierre Mathonet
On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes
Jean-Luc Marichal, Pierre Mathonet
System reliability and weighted lattice polynomials
Alexander Dukhovny, Jean-Luc Marichal
Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions
Miguel Couceiro, Jean-Luc Marichal
Axiomatizations of Lovász extensions of pseudo-Boolean functions
Miguel Couceiro, Jean-Luc Marichal
Symmetric approximations of pseudo-Boolean functions with applications to influence indexes
Jean-Luc Marichal, Pierre Mathonet
Computing subsignatures of systems with exchangeable component lifetimes
Jean-Luc Marichal
Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations
Jean-Luc Marichal, Pierre Mathonet
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art
Jean-Luc Marichal, Radko Mesiar
Derivative relationships between volume and surface area of compact regions in R^d
Jean-Luc Marichal, Michael Dorff