222 citations
- Université Paris CitéFR10 papers
- Centre d'Économie de la SorbonneFR8 papers
- Laboratoire de Statistique Théorique et AppliquéeFR8 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR4 papers
- Sorbonne UniversitéFR4 papers
- Center for Responsible TravelUS2 papers
- Centre de Recherche en InformatiqueFR2 papers
- UCLouvainBE2 papers
- AgroParisTechFR1 paper
- Cadi Ayyad UniversityMA1 paper
- CEA GrenobleFR1 paper
4 papers · 1 filter
A Discrete Choquet Integral for Ordered Systems
Ulrich Faigle, Michel Grabisch
A model for a Choquet integral for arbitrary finite set systems is presented. The model includes in particular the classical model on the system of all subsets of a finite set. The…
The quest for rings on bipolar scales
Michel Grabisch, Bernard De Baets, Janos Fodor
We consider the interval and intend to endow it with an algebraic structure like a ring. The motivation lies in decision making, where scales that are symmetric w.r.t. 0…
Derivative of functions over lattices as a basis for the notion of interaction between attributes
Michel Grabisch, Christophe Labreuche
The paper proposes a general notion of interaction between attributes, which can be applied to many fields in decision making and data analysis. It generalizes the notion of intera…
Entropy of capacities on lattices and set systems
Aoi Honda, Michel Grabisch
We propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability measur…