This paper presents some prefiminary results of our current attempts to develop a hybrid multi-dimensional knowledge representation scheme which can handle both the incompleteness and uncertainty. We have started from the quantitative temporal constraint information, and extended it with possibilistic quantifiers. We have also extended the former towards a multidimensional constraint-based formalism. Finally we have combined these two extensions under a multi-dimensional possibilistic scheme. The context of spatio-temporal reasoning is one of the motivations for developing such a hybrid scheme. However, the major motivation for our work is coming from the muti-dimensional data modeling research[SHJM96] within the database area.