Question
Asked May 21, 2019
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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
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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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Expert Answer

Step 1

As per norms the first three parts a),b) and c) are answered. To determine the various fuzzy properties of the given fuzzy set

Step 2

a) supports of the given fuzzy sets (note that they are all crisp sets)

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Step 3

b) A fuzzy set A is normalized if there exists at least one member with maximum membership value, nam...

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