Representing uncertainty on set-valued variables using belief functions

@article{Denoeux2010RepresentingUO,
  title={Representing uncertainty on set-valued variables using belief functions},
  author={Thierry Denoeux and Zoulficar Younes and Fahed Abdallah},
  journal={Artif. Intell.},
  year={2010},
  volume={174},
  pages={479-499}
}
A formalism is proposed for representing uncertain information on set-valued variables using the formalism of belief functions. A set-valued variable X on a domain Ω is a variable taking zero, one or several values in Ω. While defining mass functions on the frame 22 Ω is usually not feasible because of the double-exponential complexity involved, we propose an approach based on a definition of a restricted family of subsets of 2Ω that is closed under intersection and has a lattice structure… CONTINUE READING
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