Figure P6.2 shows the functional dependency between two variables: y = y(x). Make a fuzzy model of this function by using proper fuzzy tools and algorithms. In particular, use three membership functions for the Input x and three membership functions for the Output y. Choose the shapes and positions of the membership functions that you think can solve the problem. Make the corresponding rule base, find the relational matrices if needed, and for x = 10, using your fuzzy model, find the crisp value of y, Use any operator, inference rule, or defuzzification method you think is proper for modeling the given function.

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