Levy processes in cones of fuzzy vectors

The general problem of how to construct stochastic processes which are confined to stay in a predefined cone (in the one-dimensional but also multi-dimensional case also referred to as \emph{subordinators}) is of course known to be of great importance in the theory and a myriad of applications.\par But fuzzy stochastic processes are considered in this context for the first time in this paper:\par By first relating with each proper convex cone $C$ in ${\mathbb{R}}^n$ a certain cone of fuzzy vectors $C^{\ast }$ and subsequently using some specific Banach space techniques we have been able to produce as many pairs $(L_t^{\ast },C^{\ast })$ of fuzzy \L processes $L_t^{\ast }$ and cones $C^{\ast }$ of fuzzy vectors such that $L_t^{\ast }$ are $C^{\ast }$-$$subordinators.