Dear,

please explain to solve this case.

Consider the following rule base: if x is Small then y is Big if x is Medium then y is Small if x is Big then y is Medium O Small Big 1.0 10 0.75 . . . . . .. 0.5 . . : . . . .. . 0.25 . . . . ... . 0.25 -.... ...... 0 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 (a) if a is Small then y is Big Small 10 - . .. -! . . . . . .. 0.75 0.75 -.... .... 0.5 0.5 . . . . . . . . 0.25 0.25 y 1 2 3 4 5 6 7 8 1 2 3 4 5 6 8 (b) if a is Medium then y is Small Big Medium 10 . 1.0 0.75 .. 4 . - 0.75 . . 4 . . .. . .. 0.5 .... . .. . . 0.5 . . ... 0.25 0.25 0 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 y (c) if a is Big then y is Medium Given the membership functions illustrated in figure above, answer the following questions: A. Using the clipped center of gravity method, draw the composite function for which the centroid needs to be calculated, for x = 2. B. Compute the defuzzified output on the discrete domain, Y = {0, 1, 2, 3, 4, 5, 6, 7, 8}