Not certain I understand your question, but if you have a Weaver style base, it is slotted and you need a set of rings made to grip the base and seat in the slots. The Redfield-Leupold style of dovetail bases require a different type of ring, and visa versa. I expect Leupold makes rings for both types.
A good reference can be found at the Bear Basin website. SWAFA my also have a base chart as well.
I have scopes mounted with both styles and I can't see a benefit to either type over the other. Both styles of rings and bases work very well. There are several other types of mounts as well.
If I haven't answered your question, PM me or just send us back your question.