Following are the different fuzzy membership functions:

1. Triangular membership function:

(triangle(x:a,b,c) = \left{ 0 \ x<=a \ \frac{x-a}{b-a} \ a<=x<=b\ \frac{c-x}{c-b} \ b<=x<=c\ 0 \ c<=x\right})

Eg:

$triangle(x:20,60,80)$

In design only triangular membership function is used.

2. Trapezoidal membership function:

(trapezoid(x:a,b,c,d) = \left{ 0 \ x<=a \ \frac{x-a}{b-a} \ …