Instead of implementing 4 comparison methods, I suggest using total_ordering:

>>> from functools import total_ordering
>>> @total_ordering
... class OrderedEnum(Enum):
...     def __gt__(self, other):
...         if self.__class__ is other.__class__:
...             return self.value > other.value
...         return NotImplemented
... 

I believe the reader needn't be famiiar with total_ordering() to understand what's going on here.

elazar