Prova det här
$users = DB::table('flowers')
->select(["id", "name",
DB::raw("
case
when visibility_status = '1'
then 'Visible'
when visibility_status = '0'
then 'Invisible'
end as visibility_status
")])->get();
Här är referensen för dethttp://laravel.com/docs/4.2/queries #raw-expressions