For more information on aliasing artifacts and strategies on how to fix them, see Anti-aliasing and flicker.
Maya software rendering specifics
The options in the Presets drop-down list and the Edge Anti-Aliasing Quality drop-down list drive each other; when you change one, the other changes, and values for the Anti-aliasing subsections are automatically filled in. You can fine tune any of these settings.
Maya Hardware rendering specifics
The options in the Presets drop-down list drive values for other settings in the Quality section of the Render Settings window. You can fine tune any of these settings.