A fuzzy "diagnostic relation" Rd for an automobile relates the system set S to the fault set F. These sets are given below. S = [x, (low gas mileage), x2 (excessive vibration), x3 (loud noise), x4 (high collant temperature), x, (steering instability)] F = [y₁ (bad spark plugs), y2 (wheel imbalance), y3 (bad muffler), y4 (thermostat stuck closed)] Assume reasonable numerical values (01) for membership values relating members of sets S and F and use them. Give all five representa- tions of this fuzzy diagnostic relationship Rd in terms of x; and y;.