  Given a (meromorphic) fibration $f:X\to Y$ where $X$ and $Y$ are compact
complex manifolds of dimensions $n$ and $m$, we define $L_f$ to be the
invertible subsheaf of the sheaf of holomorphic $m$-forms of $X$ given by the
saturation of $f^*K_Y$, where $K_Y$ is the canonical sheaf of $Y$. We define
the Kodaira dimension of the orbifold base $(Y,f)$ by that of $L_f$ and call
the fibration to be of general type if this dimension is the maximal $\dime Y$.
We call $X$ special if it does not have a general type fibration with positive
dimensional base and call $f$ special if its general fibers are. We note that
Iitaka and rationally connected fibrations are special. Our main theorem is
that any compact complex $X$ has a special fibration of general type which
dominates any fibration of general type and factors through any special
fibration of general type from $X$ in the birational category, thus unique in
this category. Also, the fibration has positive dimensional fibers if $X$ is
not of general type thus resolving a problem in Mori's program for varieties
with negative Kodaira dimension. Our main theorem is stated in the full
orbifold context of log pairs as in Mori's program via which we give an
application to the Albanese map of projective manifolds with nef anticanonical
bundle a part of which was derived using positive charateristic techniques by
Qi Zhang.
