218606 Lab 3 – Fuzzy Sets PDF

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Lab 3 Fuzzy Sets 1) Given the classical sets, A 5, 6, 8, B 2, 3, 7, C defined on universe X. Prove the classical set properties associativity and distributivity. 2) Consider two fuzzy sets: Find Complement, Union, Intersection, Difference, and De law. 3) We want to compare two sensors based upon the...

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Lab 3 – Fuzzy Sets 1) Given the classical sets, A = {9, 5, 6, 8, 10} B = {1, 2, 3, 7, 9} C = {1, 0} defined on universe X. Prove the classical set properties associativity and distributivity. 2) Consider two fuzzy sets:

Find Complement, Union, Intersection, Difference, and De Morgan’s law.

3) We want to compare two sensors based upon their detection levels and gain settings. The following table of gain settings and sensor detection levels with a standard item being monitored provides typical membership values to represents the detection levels for each of the sensors.

The universe of discourse is X = {0, 20, 40, 60, 80, 100}. Find the membership function for the two sensors: Find the following membership functions using standard set operations:

4) Consider the following fuzzy sets

Calculate, A union B, A intersects B, A complement, B complement using Matlab.

5) Consider the following fuzzy sets

Calculate A difference B, B difference A using Matlab.

6) Consider the following fuzzy sets

Calculate the DeMorgan’s law Matlab.

, and

using...