1.3 Consider the fuzzy sets: short, middle, tall middle tall short CIn 140 150 160 170 0 0.9 0.7 0.3 0.1 0 0 0.8 0 180 190 0.3 0 a) Compare the support of each set. b) What is the normalized fuzzy set? c) Find the level set of each set. d) Compare a-cut set of each set where a-0.5 and a-0.3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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the book is "First Course on Fuzzy Theory and Applications"

1.3 Consider the fuzzy sets: short, middle, tall
middle
tall
short
CIn
140
150
160
170
0
0.9
0.7
0.3
0.1
0
0
0.8
0
180
190
0.3
0
a) Compare the support of each set.
b) What is the normalized fuzzy set?
c) Find the level set of each set.
d) Compare a-cut set of each set where a-0.5 and a-0.3
Transcribed Image Text:1.3 Consider the fuzzy sets: short, middle, tall middle tall short CIn 140 150 160 170 0 0.9 0.7 0.3 0.1 0 0 0.8 0 180 190 0.3 0 a) Compare the support of each set. b) What is the normalized fuzzy set? c) Find the level set of each set. d) Compare a-cut set of each set where a-0.5 and a-0.3
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