Problem 2: This problem makes use of Zadeh's extension principle. You are given the fuzzy sets A and B on the real line as follows: 2 3 4 5 6 7 0.6 1.0 A B 0.0 0.0 0.3 1.0 0.8 0.5 0.7 0.1 0.2 0.0 0.0 0.0 0.9 0.2 If x and y are real numbers defined by sets A and B, respectively, calculate the fuzzy set C representing the real numbers z given as (a) z = 3x - 2. (b) z = 4x2+ 3, (c) z = min(x, y). Problem 2: This problem makes use of Zadeh's extension principle. You are given the fuzzy sets A and B on the real line as follows: 2 3 4 5 6 7 0.6 1.0 A B 0.0 0.0 0.3 1.0 0.8 0.5 0.7 0.1 0.2 0.0 0.0 0.0 0.9 0.2 If x and y are real numbers defined by sets A and B, respectively, calculate the fuzzy set C representing the real numbers z given as (a) z = 3x - 2. (b) z = 4x2+ 3, (c) z = min(x, y)