Prohibit Unrelated Adults

[Robert Lenfestey]

Hi,  I recently had 2 roommates move into one of my SFRs.  This was their first place after college and they treated it like a frat house.  It was awful.  I would like to prevent this situation by prohibiting unrelated adults.  Does this in any way violate fair housing law?  Roommates are not a protected class, but I want to see if anyone else has done this.  Also is it wise to publish your minimal rental criteria on your website to weed out prospective tenants who wouldn't qualify based on credit or income requirements?