Let the sets A, B and C be fuzzy sets defined on real numbers by the membership functions: HA(x)= x/(x+1), Ha(x)= 1/(x²+10), µc(x)= 1/10*. Determine mathematical membership functions and graphs of each of the following: 1. AUB X' 2. BnC 3. AUBUC 4. ANBNC 5. An Complement(C) 6. Complement(B) U C 7. Complement(A O B) 8. Complement(A) U Complement(B).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 56E
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Let the sets A, B and C be fuzzy sets defined on real numbers by the membership
functions:
HA(x)= x/(x+1), Ha(x)= 1/(x²+10), µc(x)= 1/10*.
Determine mathematical membership functions and graphs of each of the following:
1. AUB
X'
2. BnC
3. AUBUC
4. ANBNC
5. An Complement(C)
6. Complement(B) U C
7. Complement(A O B)
8. Complement(A) U Complement(B).
Transcribed Image Text:Let the sets A, B and C be fuzzy sets defined on real numbers by the membership functions: HA(x)= x/(x+1), Ha(x)= 1/(x²+10), µc(x)= 1/10*. Determine mathematical membership functions and graphs of each of the following: 1. AUB X' 2. BnC 3. AUBUC 4. ANBNC 5. An Complement(C) 6. Complement(B) U C 7. Complement(A O B) 8. Complement(A) U Complement(B).
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