Two cars separated by a distance d which can range between 0 to 120 feet. Car-1 travel at a speed of v, ranging from 0 to 80 mph. Depending on the speed and distance Car-2 has several braking options (B) from light to hard if Car-1 slows down or stops. a. Create a fuzzy set that contains the membership function for each input: Distance between cars (Short (0, 0, 60), normal (0, 60, 120) and long (60, 120, 120) Car Speed (Low(0, 0, 40), Normal (0, 40, 80) and High (40, 80, 80) And Braking Strength (Light (0, 0, 50, Normal (0, 50, 100) and Hard (50, 100, 100). b. Establish a set of rules for the braking output as a function of the speed and distance and present them in a matrix form. c. Create at least nine rules by referring. d. Implement Mamdani FIS. e. Determine the value of the outcome if Car-1 is travelling at 70 mph and the distance between Car-1 and Car-2 is 80 feet