Upper Probabilities and Selectors of Random Sets

  • Enrique Miranda
  • Inés Couso
  • Pedro Gil
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 16)


We investigate the probabilistic information given by a random set when it represents the imprecise observation of a random variable. We compare the information given by the distributions of the selectors with that provided by the upper and lower probabilities induced by the random set. In particular, we model the knowledge on both the probability of an event and the probability distribution of the original random variable. Some characterizations and examples are given for the case of a finite final space, and the main difficulties for the infinite case are commented.


Fuzzy Number Extreme Point Multivalued Mapping Probabilistic Information Stochastic Geometry 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Enrique Miranda
    • 1
  • Inés Couso
    • 1
  • Pedro Gil
    • 1
  1. 1.Department of Statistics and Operations ResearchUniversity of OviedoOviedoSpain

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