Question

fuzzy logic

intelligent control systems

6.7.1. Class Exercise 2 Two Fuzzy sets have the following membership functions μ(x) = 0 , x<25 or x > 35 μ(x) = 0 , x < 30 or x > 40 μ(x) = _-5, XE[25,30] B= μ(x) = 5-6, xe[30.35] (μ(x) =-s+8,2E [35,40] A= (x) = _5+7.2E [30.35] Plot A, B, AUB, AnB

Answer 1

Solution:
Plots of the membership functions for given two fuzzy sets are given here:

The plot of Fuzzy set A:

0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 Fig.l Membership function to fuzzy set "A"

The plot of Fuzzy set B:

0.8 0.6 0.4 0.2 0 0 10 20 30 40 50 60 70 80 90 Fig.2 Membership function to fiuzzy set "B"

The plot of Fuzzy set :

AUB

0.8 0.6 0.4 0 10 20 30 40 50 60 70 80 90 Fig.3 Membership function of union of fuzzy sets A and B

The plot of Fuzzy set $A \cap B$:

0.8 0.6 0.4 ().ス 0 0 10 20 30 40 50 60 70 80 90 Fig.3 Membership function of intersection of fuzzy sets A and B