Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390549 | Fuzzy Sets and Systems | 2009 | 12 Pages |
Abstract
The paper considers a particular family of fuzzy monotone set-valued stochastic processes. The proposed setting allows us to investigate suitable α-level sets of such processes, modeling birth-and-growth processes. A decomposition theorem is established to characterize the nucleation and the growth. As a consequence, different consistent set-valued estimators are studied for growth process. Moreover, the nucleation process is studied via the hitting function, and a consistent estimator of the nucleation hitting function is derived.
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