  This paper gives a systematic study to the general dual-polar
Orlicz-Minkowski problem (e.g., Problem \ref{general-dual-polar}). This problem
involves the general dual volume $\widetilde{V}_G(\cdot)$ recently proposed in
\cite{GHWXY, GHXY} in order to study the general dual Orlicz-Minkowski problem.
As $\widetilde{V}_G(\cdot)$ extends the volume and the $q$th dual volume, the
general dual-polar Orlicz-Minkowski problem is "polar" to the recently
initiated general dual Orlicz-Minkowski problem in \cite{GHWXY, GHXY} and
"dual" to the newly proposed polar Orlicz-Minkowski problem in \cite{LuoYeZhu}.
The existence, continuity and uniqueness, if applicable, for the solutions to
the general dual-polar Orlicz-Minkowski problem are established. Polytopal
solutions and/or counterexamples to the general dual-polar Orlicz-Minkowski
problem for discrete measures are also provided. Several variations of the
general dual-polar Orlicz-Minkowski problem are discussed as well, in
particular the one leading to the general Orlicz-Petty bodies.
