Continuity theorems and chance distribution of random fuzzy variables

@inproceedings{Zhu2004ContinuityTA,
  title={Continuity theorems and chance distribution of random fuzzy variables},
  author={Yuanguo Zhu and Baoding Liu},
  year={2004}
}
A random fuzzy variable is a function from a possibility space to the set of random variables. In this paper, some mathematical properties of a random fuzzy variable are studied. First, some properties of chance measure of random fuzzy events are given. Then, several continuity theorems for random fuzzy sequences are investigated. Furthermore, the concept of chance distribution for a random fuzzy variable is presented, and some properties of chance distribution are obtained. 

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