A Note on Fuzzy Set--Valued Brownian Motion

Details A Note on Fuzzy Set--Valued Brownian Motion A Note on Fuzzy Set--Valued Brownian Motion

2011-09-28

arxiv.org/abs/1109.6167v1

Mathematics

Probability

Scientific paper

10.1016/j.spl.2012.01.011

In this paper, we prove that a fuzzy set--valued Brownian motion $B_t$, as
defined in [1], can be handle by an $R^d$--valued Wiener process $b_t$, in the
sense that $B_t =\indicator{b_t}$; i.e. it is actually the indicator function
of a Wiener process.

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