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Upper Probabilities and Selectors of Random Sets

2002; Springer Science+Business Media; Linguagem: Inglês

10.1007/978-3-7908-1773-7_10

1867-5670

Enrique Miranda, Inés Couso, Pedro Gil,

Fuzzy Systems and Optimization

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.