In a medium mixing bowl toss together shredded cabbage with carrot and tuna. In a small mixing bowl stir together mayonnaise or salad dressing and ranch, cucumber, or Parmesan salad dressing. Toss salad dressing mixture with tuna mixture.
Spread tuna mixture evenly on the four halves of the hoagie buns. Place on the unheated rack of a broiler pan. Broil 4 to 5 inches from the heat for 2 to 3 minutes or until heated through. Top with cheese. Broil 30 to 60 seconds more or until cheese melts. Makes 4 servings.