AiSc 4

def trapezoidal_membership(x, a, b, c, d):
    """Calculates fuzzy membership value for a trapezoidal distribution."""
    if x <= a or x >= d:
        return 0.0
    elif b <= x <= c:
        return 1.0
    elif a < x < b:
        return (x - a) / (b - a)
    elif c < x < d:
        return (d - x) / (d - c)
    return 0.0


# Test with parameters: a=1, b=3, c=6, d=8
a, b, c, d = 1, 3, 6, 8
test_inputs = [0, 2, 4.5, 7, 9]

print(f"Trapezoidal Function (a={a}, b={b}, c={c}, d={d}):")

for x in test_inputs:
    degree = trapezoidal_membership(x, a, b, c, d)
    print(f"  Input x = {x:<4} -> Membership Degree = {degree:.2f}")