You will need to filter that list.
function alter_views_wpse_103613($views) {
$role="blogger_simple";
if (current_user_can($role)) {
$views = array('mine'=>$views['mine']);
}
return $views;
}
add_filter( 'views_edit-post', 'alter_views_wpse_103613' );
That filter list is part of the WP_List_Table
class if you want to investigate more. Look for the views
method.