Asked May 21, 2019

the book is "First Course on Fuzzy Theory and Applications"

1.7 Show the following set is convex
x s10
μ^ (x) =t(1 + (x-10)-が
1.8 Determine α-cut sets of the above set for α-05, 0.8 and 0.9.

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1.7 Show the following set is convex x s10 μ^ (x) =t(1 + (x-10)-が x>10 1.8 Determine α-cut sets of the above set for α-05, 0.8 and 0.9.


Expert Answer

Step 1

To prove that the given fuzzy set is convex and to determine the α-cut sets for the given values of α.

Step 2

Membership function of the fuzzy set A

Step 3

Definition of a convex...


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