@inproceedings{EQ-2006-SMPS,
  author = {Quaeghebeur, Erik and De Cooman, Gert},
  editor = {A. Bugarin and M. A. Gil and P. Grzegorzewski and O. Hyrniewicz and J. Lawry and S. Li and E. Miranda},
  title = {Extreme lower probabilities},
  booktitle = {Soft Methods for Integrated Uncertainty Modelling},
  year = {2006},
  venue = {Bristol, United Kingdom},
  eventdate = {2006-09-05/2006-09-07},
  eventtitle = {SMPS 2006: Third International Workshop on Soft Methods in Probability and Statistics},
  series = {Advances in Soft Computing},
  number = {6},
  publisher = {Springer-Verlag},
  location = {Berlin, Germany},
  issn = {1615-3871},
  isbn = {978-3-540-34776-3},
  pages = {211--221},
  url = {http://hdl.handle.net/1854/LU-406341},
  doi = {10.1007/3-540-34777-1_26}
  abstract = {
    We consider lower probabilities on finite possibility spaces as models for the uncertainty about the state.
    These generalizations of classical probabilities can have some interesting properties; for example: k-monotonicity, avoiding sure loss, coherence, permutation invariance.
    The sets formed by all the lower probabilities satisfying zero or more of these properties are convex.
    We show how the extreme points and rays of these sets -- the extreme lower probabilities -- can be calculated and we give an illustration of our results. 
  },
  keywords = {extreme points, lower probabilities, imprecise probabilities},
}