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: 3 4 5 6 7 0.3 0.6 0.8 1.0 0.7 0.2 0.0 A В 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).

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ISBN:9780470458365
Author:Erwin Kreyszig
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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:
u(xi)
0 1 2
3.
4
6.
0.3
0.8
0.0
A
в
0.0
0.6
1.0
0.7
0.2
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).
%3D
Transcribed Image Text: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: u(xi) 0 1 2 3. 4 6. 0.3 0.8 0.0 A в 0.0 0.6 1.0 0.7 0.2 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). %3D
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