1.3 Consider fuzzy set:short,middle,tall. a-support b-normalized c-level d-α-cut set at α=0.5 & 0.3.

1.3 Consider the fuzzy sets : short, middle, tall
cm short middle tall
140 1 0 0
150 1 0 0
160 0.9 0.1 0
170 0.7 1 0
180 0.3 0.8 0.3
190 0 0 1
a) Compare the support of each set.
b) What is the normalized fuzzy set?
c) Find the level set of each set.
d) Compare α-cut set of each set where α=0.5 and α=0.3.