TY - JOUR
T1 - A note on fuzzy set-valued Brownian motion
AU - Bongiorno, Enea G.
PY - 2012/4
Y1 - 2012/4
N2 - In this paper, we prove that a fuzzy set-valued Brownian motion B t, as defined in Li and Guan (2007), can be handled by an Rd-valued Wiener process b t, in the sense that Bt=Ibt; i.e.,it actually is the indicator function of a Wiener process.
AB - In this paper, we prove that a fuzzy set-valued Brownian motion B t, as defined in Li and Guan (2007), can be handled by an Rd-valued Wiener process b t, in the sense that Bt=Ibt; i.e.,it actually is the indicator function of a Wiener process.
KW - Defuzzification of randomness
KW - Fuzzy Brownian motion
KW - Fuzzy random sets
KW - Gaussian fuzzy process
UR - http://www.scopus.com/inward/record.url?scp=84856567128&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2012.01.011
DO - 10.1016/j.spl.2012.01.011
M3 - Article
SN - 0167-7152
VL - 82
SP - 827
EP - 832
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
IS - 4
ER -