A decomposition theorem for fuzzy set-valued random variables and a characterization of fuzzy random translation

Giacomo Aletti, Enea G. Bongiorno

Let $X$ be a fuzzy set--valued random variable (\frv{}), and $\huku{X}$ the family of all fuzzy sets $B$ for which the Hukuhara difference $X\HukuDiff B$ exists $\mathbb{P}$--almos…