  Type-2 fuzzy differential equations (T2FDEs) of order 1 are already known and
the solution method of type-2 fuzzy initial value problems (T2FIVPs) for them
was given by M. Mazandarani and M. Najariyan \cite{MN} in 2014. We give the
solution method of second-order T2FIVPs in this paper. Furthermore, we would
like to propose new notations for type-2 fuzzy theory where symbols tend to be
complicated and misleading. In particular, the Hukuhara differential symbols
introduced experimentally in this paper will give us clearler meanings and
expressions.

General Mathematics