Problem 3 Inputs: The crisp inputs to the fuzzy logic system are 3 distance measurements from the left, center, and right points and each input variable has 3 fuzzy sets (near, medium, and far). Outputs: The three outputs Plausibility of Left, Plausibility of center, and Plausibility of right, each have 4 fuzzy sets (Low, Medium, High, Very High). The point with the highest plausibility is deemed to be the object of interest The fitness functions are either a line straight (L) or a Triangle (T). If it is a triangle assume the peak is the midpoint of the points given. Inputs Near 0-6m (L) Medium 5m to 15m (T) Far 10 to 25m (L) Outputs Low (0-0.3) (L) Medium (0.2-0.6) (T) High(0.50.8)(T) Very High (0.751)(L) 1) Perform Fuzzification of the Input Variables ( Draw membership functions): 2) Perform Fuzzification of the output variable (Draw membership functions): 1) If you then receive from each of the distance meters L=3m,C=14m, and R=16m. Using the following rules and only using the first rule that matches, show the steps the fuzzy logic system will use to get an answer. You do not need to calculate the final number, just show the shaded region on the output graph and approximate the center of mass. You should take care to use a rules and/or graph paper. 1) If Center is Near then Plausibility of Center = Medium 2) If Left is Near AND Right is Near then Plausibility of Center = Low 3) If Left is Near AND Center is Far AND Right is FAR then Plausibility of Left is Very High 4) If Right is Far AND Center is Far then Plausibility of right is Very Low