The notion of ℬ-valued random fuzzy variable is introduced in this paper, which is defined as a function from the credibility space to the set of ℬ-valued random variables. Then, the expected value and variance of ℬ-valued random fuzzy variable are defined. Some important mathematical properties of ℬ-valued random fuzzy variable are obtained, for instance, the uniqueness and the linearity of the expected value.
['Juan Wen', 'Hongyan Ma', 'Lixing Yang']
On the expected value of ℬ-valued random fuzzy variable