Bi-capacities for decision making on bipolar scales

  title={Bi-capacities for decision making on bipolar scales},
  author={Michel. Grabisch and Christophe. Labreuche},
  • Michel. Grabisch, Christophe. Labreuche
  • Published 2002
We present the concept of bi-capacity as a generalization of capacities (or fuzzy measures). The Choquet integral w.r.t. bi-capacities is defined, and is a generalization of Cumulative Prospect Theory models. This new model can bring much more flexibility in representing preferences. Lastly, we introduce the Möbius transform of bi-capacities.