A note on fuzzy set-valued Brownian motion

作者：Bongiorno Enea G^*

来源：STATISTICS %26 PROBABILITY LETTERS, 2012, 82(4): 827-832.

DOI：10.1016/j.spl.2012.01.011

• Fuzzy random sets
• Fuzzy Brownian motion
• Gaussian fuzzy process
• Defuzzification of randomness

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 R-d-valued Wiener process b(t), in the sense that B-t = I-bt i.e., it actually is the indicator function of a Wiener process.

• 出版日期2012-4