See https://github.com/simonpercivall/orderedset/pull/22.

--- a/lib/orderedset/_orderedset.pyx

+++ b/lib/orderedset/_orderedset.pyx

@@ -499,13 +499,15 @@ class OrderedSet(_OrderedSet, MutableSet

         return NotImplemented

     def __ge__(self, other):

-        ret = self < other

-        if ret is NotImplemented:

-            return ret

-        return not ret

+        if isinstance(other, Set):

+            return len(self) >= len(other) and set(self) >= set(other)

+        elif isinstance(other, list):

+            return len(self) >= len(other) and list(self) >= list(other)

+        return NotImplemented

     def __gt__(self, other):

-        ret = self <= other

-        if ret is NotImplemented:

-            return ret

-        return not ret

+        if isinstance(other, Set):

+            return len(self) > len(other) and set(self) > set(other)

+        elif isinstance(other, list):

+            return len(self) > len(other) and list(self) > list(other)

+        return NotImplemented

--- a/tests/test_orderedset.py

+++ b/tests/test_orderedset.py

@@ -371,6 +371,20 @@ class TestOrderedset(unittest.TestCase):

         self.assertGreater(oset1, set(oset3))

         self.assertGreater(oset1, list(oset3))

+        oset4 = OrderedSet(self.lst[1:])

+

+        self.assertFalse(oset3 < oset4)

+        self.assertFalse(oset3 < set(oset4))

+        self.assertFalse(oset3 < list(oset4))

+        self.assertFalse(oset3 >= oset4)

+        self.assertFalse(oset3 >= set(oset4))

+        self.assertFalse(oset3 >= list(oset4))

+        self.assertFalse(oset3 < oset4)

+        self.assertFalse(oset3 < set(oset4))

+        self.assertFalse(oset3 < list(oset4))

+        self.assertFalse(oset3 >= oset4)

+        self.assertFalse(oset3 >= set(oset4))

+        self.assertFalse(oset3 >= list(oset4))

 if __name__ == '__main__':

     unittest.main()