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Let the sets A, B and C be fuzzy sets defined on real numbers by the membership functions: μ₁(x)= x/(x+1), µB(x)= 1/(x²+10), µc(x)= 1/10*. Determine mathematical membership functions and graphs of each of the following: 1. AUB 2. BOC 3. AUBUC 4. An B O C 5. A Complement(C) 6. Complement(B) C 7. Complement(A ~ B) 8. Complement(A) U Complement(B).

Let the sets A, B and C be fuzzy sets defined on real numbers by the membership functions: μ₁(x)= x/(x+1), µB(x)= 1/(x²+10), µc(x)= 1/10*. Determine mathematical membership functions and graphs of each of the following: 1. AUB 2. BOC 3. AUBUC 4. An B O C 5. A Complement(C) 6. Complement(B) C 7. Complement(A ~ B) 8. Complement(A) U Complement(B).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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).

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 X' 2. Вос 3. AUBUC 4. ANBOC 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 X' 2. Вос 3. AUBUC 4. ANBOC 5. An Complement(C) 6. Complement(B) U C 7. Complement(A O B) 8. Complement(A) U Complement(B).
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