English

A Note on Fuzzy Set--Valued Brownian Motion

Probability 2012-01-25 v1

Abstract

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

Keywords

Cite

@article{arxiv.1109.6167,
  title  = {A Note on Fuzzy Set--Valued Brownian Motion},
  author = {Enea Giuseppe Bongiorno},
  journal= {arXiv preprint arXiv:1109.6167},
  year   = {2012}
}
R2 v1 2026-06-21T19:11:39.683Z