Do you mean in terms of emails and notifications? When you say community members I'm assuming you don't mean moderation of new content by administrators or moderators?
A user can go into their settings and configure what and how often they receive notifications. For example, in My settings > Subscriptions and notifications > Notification settings there are a variety of options they can choose.
In My settings > Subscriptions and notifications > Email format they are able to amend the format of the emails they receive. Finally, My settings > Subscriptions and notifications > Email subscriptions gives a list of all their current subscriptions, which they can choose to unsubscribe from at any time.
I hope this helps!