This problem makes use of Zadeh's extension principle. You are given the fuzzy sets A and...

 

Transcribed Image Text:

This problem makes use of Zadeh's extension principle. You are given the fuzzy sets A and B on the real line as follows: u(xi) 1 2 3 4 7 0.3 0.6 0.8 1.0 A B 0.0 0.7 0.2 0.0 0.0 1.0 0.9 0.5 0.2 0.1 0.0 0.0 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). This problem makes use of Zadeh's extension principle. You are given the fuzzy sets A and B on the real line as follows: u(xi) 1 2 3 4 7 0.3 0.6 0.8 1.0 A B 0.0 0.7 0.2 0.0 0.0 1.0 0.9 0.5 0.2 0.1 0.0 0.0 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).