We discuss the nature of possibilistic uncertainty. Two approaches to the d
etermination of the equivalent value for a possibilistically uncertain vari
able are introduced. These approaches are then generalized to yield a param
eterized class of functions for obtaining the equivalent value of a possibi
listic variable. A novel aspect of this class is that it is parameterized b
y a weak ordering, A discussion to try to understand the semantics of this
parameterizing ordering is included. A method is suggested for obtaining th
e weak ordering directly from a scalar value. We briefly look at the issue
of variance in possibilistic uncertainty.